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Finding the Fourth Proportional to 3,695.39, 5,097.74 and 2,500.43

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Solution

The fourth proportional to 3,695.39, 5,097.74 and 2,500.43 is: 3,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.39 : 5,097.74 = 2,500.43 : x
  2. Step 2: Convert to fraction form
    3,695.39/5,097.74 = 2,500.43/x
  3. Step 3: Cross multiply
    3,695.39x = 5,097.74 × 2,500.43
  4. Step 4: Simplify right side
    3,695.39x = 12,746,504.04
  5. Step 5: Solve for x
    x = 12,746,504.04/3,695.39
  6. Step 6: Final answer
    x = 3,449.30

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Why These Related Problems?

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