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Finding the Fourth Proportional to 7,175.24, 9,901.81 and 3,988.70

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Solution

The fourth proportional to 7,175.24, 9,901.81 and 3,988.70 is: 5,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.24 : 9,901.81 = 3,988.70 : x
  2. Step 2: Convert to fraction form
    7,175.24/9,901.81 = 3,988.70/x
  3. Step 3: Cross multiply
    7,175.24x = 9,901.81 × 3,988.70
  4. Step 4: Simplify right side
    7,175.24x = 39,495,349.55
  5. Step 5: Solve for x
    x = 39,495,349.55/7,175.24
  6. Step 6: Final answer
    x = 5,504.39

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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.