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Finding the Fourth Proportional to 5,874.71, 8,811.22 and 1,713.60

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Solution

The fourth proportional to 5,874.71, 8,811.22 and 1,713.60 is: 2,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.71 : 8,811.22 = 1,713.60 : x
  2. Step 2: Convert to fraction form
    5,874.71/8,811.22 = 1,713.60/x
  3. Step 3: Cross multiply
    5,874.71x = 8,811.22 × 1,713.60
  4. Step 4: Simplify right side
    5,874.71x = 15,098,906.59
  5. Step 5: Solve for x
    x = 15,098,906.59/5,874.71
  6. Step 6: Final answer
    x = 2,570.15

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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.