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Finding the Fourth Proportional to 3,529.89, 5,294.43 and 932.76

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Solution

The fourth proportional to 3,529.89, 5,294.43 and 932.76 is: 1,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.89 : 5,294.43 = 932.76 : x
  2. Step 2: Convert to fraction form
    3,529.89/5,294.43 = 932.76/x
  3. Step 3: Cross multiply
    3,529.89x = 5,294.43 × 932.76
  4. Step 4: Simplify right side
    3,529.89x = 4,938,432.53
  5. Step 5: Solve for x
    x = 4,938,432.53/3,529.89
  6. Step 6: Final answer
    x = 1,399.03

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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.