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Finding the Fourth Proportional to 4,237.76, 5,843.53 and 3,565.39

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Solution

The fourth proportional to 4,237.76, 5,843.53 and 3,565.39 is: 4,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.76 : 5,843.53 = 3,565.39 : x
  2. Step 2: Convert to fraction form
    4,237.76/5,843.53 = 3,565.39/x
  3. Step 3: Cross multiply
    4,237.76x = 5,843.53 × 3,565.39
  4. Step 4: Simplify right side
    4,237.76x = 20,834,463.43
  5. Step 5: Solve for x
    x = 20,834,463.43/4,237.76
  6. Step 6: Final answer
    x = 4,916.39

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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.