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Finding the Fourth Proportional to 3,499.28, 5,248.08 and 1,033.43

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Solution

The fourth proportional to 3,499.28, 5,248.08 and 1,033.43 is: 1,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.28 : 5,248.08 = 1,033.43 : x
  2. Step 2: Convert to fraction form
    3,499.28/5,248.08 = 1,033.43/x
  3. Step 3: Cross multiply
    3,499.28x = 5,248.08 × 1,033.43
  4. Step 4: Simplify right side
    3,499.28x = 5,423,523.31
  5. Step 5: Solve for x
    x = 5,423,523.31/3,499.28
  6. Step 6: Final answer
    x = 1,549.90

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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.