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Finding the Fourth Proportional to 7,644.39, 10,549.49 and 4,287.52

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Solution

The fourth proportional to 7,644.39, 10,549.49 and 4,287.52 is: 5,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.39 : 10,549.49 = 4,287.52 : x
  2. Step 2: Convert to fraction form
    7,644.39/10,549.49 = 4,287.52/x
  3. Step 3: Cross multiply
    7,644.39x = 10,549.49 × 4,287.52
  4. Step 4: Simplify right side
    7,644.39x = 45,231,149.36
  5. Step 5: Solve for x
    x = 45,231,149.36/7,644.39
  6. Step 6: Final answer
    x = 5,916.91

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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.