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Finding the Fourth Proportional to 5,667,407.16, 7,821,100.71 and 3,089,083.20

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Solution

The fourth proportional to 5,667,407.16, 7,821,100.71 and 3,089,083.20 is: 4,262,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,407.16 : 7,821,100.71 = 3,089,083.20 : x
  2. Step 2: Convert to fraction form
    5,667,407.16/7,821,100.71 = 3,089,083.20/x
  3. Step 3: Cross multiply
    5,667,407.16x = 7,821,100.71 × 3,089,083.20
  4. Step 4: Simplify right side
    5,667,407.16x = 24,160,030,808,769.07
  5. Step 5: Solve for x
    x = 24,160,030,808,769.07/5,667,407.16
  6. Step 6: Final answer
    x = 4,262,977.78

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