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Finding the Fourth Proportional to 3,874.74, 5,811.14 and 1,502.35

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Solution

The fourth proportional to 3,874.74, 5,811.14 and 1,502.35 is: 2,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.74 : 5,811.14 = 1,502.35 : x
  2. Step 2: Convert to fraction form
    3,874.74/5,811.14 = 1,502.35/x
  3. Step 3: Cross multiply
    3,874.74x = 5,811.14 × 1,502.35
  4. Step 4: Simplify right side
    3,874.74x = 8,730,355.41
  5. Step 5: Solve for x
    x = 8,730,355.41/3,874.74
  6. Step 6: Final answer
    x = 2,253.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.