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Finding the Fourth Proportional to 5,337.11, 7,364.77 and 3,098.27

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Solution

The fourth proportional to 5,337.11, 7,364.77 and 3,098.27 is: 4,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.11 : 7,364.77 = 3,098.27 : x
  2. Step 2: Convert to fraction form
    5,337.11/7,364.77 = 3,098.27/x
  3. Step 3: Cross multiply
    5,337.11x = 7,364.77 × 3,098.27
  4. Step 4: Simplify right side
    5,337.11x = 22,818,001.38
  5. Step 5: Solve for x
    x = 22,818,001.38/5,337.11
  6. Step 6: Final answer
    x = 4,275.35

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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.