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Finding the Fourth Proportional to 5,754.65, 7,935.19 and 5,001.96

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Solution

The fourth proportional to 5,754.65, 7,935.19 and 5,001.96 is: 6,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.65 : 7,935.19 = 5,001.96 : x
  2. Step 2: Convert to fraction form
    5,754.65/7,935.19 = 5,001.96/x
  3. Step 3: Cross multiply
    5,754.65x = 7,935.19 × 5,001.96
  4. Step 4: Simplify right side
    5,754.65x = 39,691,490.47
  5. Step 5: Solve for x
    x = 39,691,490.47/5,754.65
  6. Step 6: Final answer
    x = 6,897.29

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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.