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Finding the Fourth Proportional to 3,590.92, 5,385.47 and 1,126.29

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Solution

The fourth proportional to 3,590.92, 5,385.47 and 1,126.29 is: 1,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.92 : 5,385.47 = 1,126.29 : x
  2. Step 2: Convert to fraction form
    3,590.92/5,385.47 = 1,126.29/x
  3. Step 3: Cross multiply
    3,590.92x = 5,385.47 × 1,126.29
  4. Step 4: Simplify right side
    3,590.92x = 6,065,601.01
  5. Step 5: Solve for x
    x = 6,065,601.01/3,590.92
  6. Step 6: Final answer
    x = 1,689.15

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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.