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Finding the Fourth Proportional to 4,392.74, 6,565.38 and 4,042.49

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Solution

The fourth proportional to 4,392.74, 6,565.38 and 4,042.49 is: 6,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.74 : 6,565.38 = 4,042.49 : x
  2. Step 2: Convert to fraction form
    4,392.74/6,565.38 = 4,042.49/x
  3. Step 3: Cross multiply
    4,392.74x = 6,565.38 × 4,042.49
  4. Step 4: Simplify right side
    4,392.74x = 26,540,435.01
  5. Step 5: Solve for x
    x = 26,540,435.01/4,392.74
  6. Step 6: Final answer
    x = 6,041.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.