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Finding the Fourth Proportional to 3,454.47, 4,767.17 and 2,038.18

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Solution

The fourth proportional to 3,454.47, 4,767.17 and 2,038.18 is: 2,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.47 : 4,767.17 = 2,038.18 : x
  2. Step 2: Convert to fraction form
    3,454.47/4,767.17 = 2,038.18/x
  3. Step 3: Cross multiply
    3,454.47x = 4,767.17 × 2,038.18
  4. Step 4: Simplify right side
    3,454.47x = 9,716,337.33
  5. Step 5: Solve for x
    x = 9,716,337.33/3,454.47
  6. Step 6: Final answer
    x = 2,812.68

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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.