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Finding the Fourth Proportional to 5,874.47, 8,809.57 and 1,713.43

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Solution

The fourth proportional to 5,874.47, 8,809.57 and 1,713.43 is: 2,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.47 : 8,809.57 = 1,713.43 : x
  2. Step 2: Convert to fraction form
    5,874.47/8,809.57 = 1,713.43/x
  3. Step 3: Cross multiply
    5,874.47x = 8,809.57 × 1,713.43
  4. Step 4: Simplify right side
    5,874.47x = 15,094,581.53
  5. Step 5: Solve for x
    x = 15,094,581.53/5,874.47
  6. Step 6: Final answer
    x = 2,569.52

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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.