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Finding the Fourth Proportional to 3,689.07, 5,097.39 and 2,949.13

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Solution

The fourth proportional to 3,689.07, 5,097.39 and 2,949.13 is: 4,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.07 : 5,097.39 = 2,949.13 : x
  2. Step 2: Convert to fraction form
    3,689.07/5,097.39 = 2,949.13/x
  3. Step 3: Cross multiply
    3,689.07x = 5,097.39 × 2,949.13
  4. Step 4: Simplify right side
    3,689.07x = 15,032,865.77
  5. Step 5: Solve for x
    x = 15,032,865.77/3,689.07
  6. Step 6: Final answer
    x = 4,074.97

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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.