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Finding the Fourth Proportional to 5,663.38, 7,816.08 and 3,426.49

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Solution

The fourth proportional to 5,663.38, 7,816.08 and 3,426.49 is: 4,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.38 : 7,816.08 = 3,426.49 : x
  2. Step 2: Convert to fraction form
    5,663.38/7,816.08 = 3,426.49/x
  3. Step 3: Cross multiply
    5,663.38x = 7,816.08 × 3,426.49
  4. Step 4: Simplify right side
    5,663.38x = 26,781,691.85
  5. Step 5: Solve for x
    x = 26,781,691.85/5,663.38
  6. Step 6: Final answer
    x = 4,728.93

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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.