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Finding the Fourth Proportional to 3,695.49, 5,101.66 and 2,854.31

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Solution

The fourth proportional to 3,695.49, 5,101.66 and 2,854.31 is: 3,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.49 : 5,101.66 = 2,854.31 : x
  2. Step 2: Convert to fraction form
    3,695.49/5,101.66 = 2,854.31/x
  3. Step 3: Cross multiply
    3,695.49x = 5,101.66 × 2,854.31
  4. Step 4: Simplify right side
    3,695.49x = 14,561,719.15
  5. Step 5: Solve for x
    x = 14,561,719.15/3,695.49
  6. Step 6: Final answer
    x = 3,940.40

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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.