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Finding the Fourth Proportional to 3,569.31, 5,353.38 and 972.45

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Solution

The fourth proportional to 3,569.31, 5,353.38 and 972.45 is: 1,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.31 : 5,353.38 = 972.45 : x
  2. Step 2: Convert to fraction form
    3,569.31/5,353.38 = 972.45/x
  3. Step 3: Cross multiply
    3,569.31x = 5,353.38 × 972.45
  4. Step 4: Simplify right side
    3,569.31x = 5,205,894.38
  5. Step 5: Solve for x
    x = 5,205,894.38/3,569.31
  6. Step 6: Final answer
    x = 1,458.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.