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Finding the Fourth Proportional to 6,404.97, 8,838.82 and 3,572.38

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Solution

The fourth proportional to 6,404.97, 8,838.82 and 3,572.38 is: 4,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.97 : 8,838.82 = 3,572.38 : x
  2. Step 2: Convert to fraction form
    6,404.97/8,838.82 = 3,572.38/x
  3. Step 3: Cross multiply
    6,404.97x = 8,838.82 × 3,572.38
  4. Step 4: Simplify right side
    6,404.97x = 31,575,623.79
  5. Step 5: Solve for x
    x = 31,575,623.79/6,404.97
  6. Step 6: Final answer
    x = 4,929.86

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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.