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Finding the Fourth Proportional to 5,516.32, 7,618.24 and 5,042.48

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Solution

The fourth proportional to 5,516.32, 7,618.24 and 5,042.48 is: 6,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516.32 : 7,618.24 = 5,042.48 : x
  2. Step 2: Convert to fraction form
    5,516.32/7,618.24 = 5,042.48/x
  3. Step 3: Cross multiply
    5,516.32x = 7,618.24 × 5,042.48
  4. Step 4: Simplify right side
    5,516.32x = 38,414,822.84
  5. Step 5: Solve for x
    x = 38,414,822.84/5,516.32
  6. Step 6: Final answer
    x = 6,963.85

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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.