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Finding the Fourth Proportional to 3,689.17, 5,097.53 and 2,949.24

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Solution

The fourth proportional to 3,689.17, 5,097.53 and 2,949.24 is: 4,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.17 : 5,097.53 = 2,949.24 : x
  2. Step 2: Convert to fraction form
    3,689.17/5,097.53 = 2,949.24/x
  3. Step 3: Cross multiply
    3,689.17x = 5,097.53 × 2,949.24
  4. Step 4: Simplify right side
    3,689.17x = 15,033,839.38
  5. Step 5: Solve for x
    x = 15,033,839.38/3,689.17
  6. Step 6: Final answer
    x = 4,075.13

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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.