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Finding the Fourth Proportional to 3,569.98, 5,355.12 and 972.91

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Solution

The fourth proportional to 3,569.98, 5,355.12 and 972.91 is: 1,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.98 : 5,355.12 = 972.91 : x
  2. Step 2: Convert to fraction form
    3,569.98/5,355.12 = 972.91/x
  3. Step 3: Cross multiply
    3,569.98x = 5,355.12 × 972.91
  4. Step 4: Simplify right side
    3,569.98x = 5,210,049.80
  5. Step 5: Solve for x
    x = 5,210,049.80/3,569.98
  6. Step 6: Final answer
    x = 1,459.41

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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.