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Finding the Fourth Proportional to 3,691.47, 5,095.94 and 2,275.41

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Solution

The fourth proportional to 3,691.47, 5,095.94 and 2,275.41 is: 3,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.47 : 5,095.94 = 2,275.41 : x
  2. Step 2: Convert to fraction form
    3,691.47/5,095.94 = 2,275.41/x
  3. Step 3: Cross multiply
    3,691.47x = 5,095.94 × 2,275.41
  4. Step 4: Simplify right side
    3,691.47x = 11,595,341.46
  5. Step 5: Solve for x
    x = 11,595,341.46/3,691.47
  6. Step 6: Final answer
    x = 3,141.12

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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.