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Finding the Fourth Proportional to 5,098.74, 7,020.29 and 4,631.66

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Solution

The fourth proportional to 5,098.74, 7,020.29 and 4,631.66 is: 6,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.74 : 7,020.29 = 4,631.66 : x
  2. Step 2: Convert to fraction form
    5,098.74/7,020.29 = 4,631.66/x
  3. Step 3: Cross multiply
    5,098.74x = 7,020.29 × 4,631.66
  4. Step 4: Simplify right side
    5,098.74x = 32,515,538.12
  5. Step 5: Solve for x
    x = 32,515,538.12/5,098.74
  6. Step 6: Final answer
    x = 6,377.17

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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.