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Finding the Fourth Proportional to 3,487.84, 5,232.57 and 1,022.70

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Solution

The fourth proportional to 3,487.84, 5,232.57 and 1,022.70 is: 1,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.84 : 5,232.57 = 1,022.70 : x
  2. Step 2: Convert to fraction form
    3,487.84/5,232.57 = 1,022.70/x
  3. Step 3: Cross multiply
    3,487.84x = 5,232.57 × 1,022.70
  4. Step 4: Simplify right side
    3,487.84x = 5,351,365.13
  5. Step 5: Solve for x
    x = 5,351,365.13/3,487.84
  6. Step 6: Final answer
    x = 1,534.29

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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.