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Finding the Fourth Proportional to 5,289.65, 7,300.02 and 3,194.45

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Solution

The fourth proportional to 5,289.65, 7,300.02 and 3,194.45 is: 4,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.65 : 7,300.02 = 3,194.45 : x
  2. Step 2: Convert to fraction form
    5,289.65/7,300.02 = 3,194.45/x
  3. Step 3: Cross multiply
    5,289.65x = 7,300.02 × 3,194.45
  4. Step 4: Simplify right side
    5,289.65x = 23,319,512.39
  5. Step 5: Solve for x
    x = 23,319,512.39/5,289.65
  6. Step 6: Final answer
    x = 4,408.52

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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.