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Finding the Fourth Proportional to 3,454.57, 4,767.92 and 2,038.17

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Solution

The fourth proportional to 3,454.57, 4,767.92 and 2,038.17 is: 2,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.57 : 4,767.92 = 2,038.17 : x
  2. Step 2: Convert to fraction form
    3,454.57/4,767.92 = 2,038.17/x
  3. Step 3: Cross multiply
    3,454.57x = 4,767.92 × 2,038.17
  4. Step 4: Simplify right side
    3,454.57x = 9,717,821.32
  5. Step 5: Solve for x
    x = 9,717,821.32/3,454.57
  6. Step 6: Final answer
    x = 2,813.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.