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Finding the Fourth Proportional to 5,667,762.23, 7,821,512.09 and 3,089,442.95

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Solution

The fourth proportional to 5,667,762.23, 7,821,512.09 and 3,089,442.95 is: 4,263,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,762.23 : 7,821,512.09 = 3,089,442.95 : x
  2. Step 2: Convert to fraction form
    5,667,762.23/7,821,512.09 = 3,089,442.95/x
  3. Step 3: Cross multiply
    5,667,762.23x = 7,821,512.09 × 3,089,442.95
  4. Step 4: Simplify right side
    5,667,762.23x = 24,164,115,330,235.49
  5. Step 5: Solve for x
    x = 24,164,115,330,235.49/5,667,762.23
  6. Step 6: Final answer
    x = 4,263,431.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.