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Finding the Fourth Proportional to 3,569.37, 5,353.90 and 972.30

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Solution

The fourth proportional to 3,569.37, 5,353.90 and 972.30 is: 1,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.37 : 5,353.90 = 972.30 : x
  2. Step 2: Convert to fraction form
    3,569.37/5,353.90 = 972.30/x
  3. Step 3: Cross multiply
    3,569.37x = 5,353.90 × 972.30
  4. Step 4: Simplify right side
    3,569.37x = 5,205,614.62
  5. Step 5: Solve for x
    x = 5,205,614.62/3,569.37
  6. Step 6: Final answer
    x = 1,458.41

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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.