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Finding the Fourth Proportional to 3,641.83, 5,032.54 and 3,103.17

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Solution

The fourth proportional to 3,641.83, 5,032.54 and 3,103.17 is: 4,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.83 : 5,032.54 = 3,103.17 : x
  2. Step 2: Convert to fraction form
    3,641.83/5,032.54 = 3,103.17/x
  3. Step 3: Cross multiply
    3,641.83x = 5,032.54 × 3,103.17
  4. Step 4: Simplify right side
    3,641.83x = 15,616,811.64
  5. Step 5: Solve for x
    x = 15,616,811.64/3,641.83
  6. Step 6: Final answer
    x = 4,288.18

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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.