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Finding the Fourth Proportional to 3,418.71, 5,125.71 and 1,748.74

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Solution

The fourth proportional to 3,418.71, 5,125.71 and 1,748.74 is: 2,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.71 : 5,125.71 = 1,748.74 : x
  2. Step 2: Convert to fraction form
    3,418.71/5,125.71 = 1,748.74/x
  3. Step 3: Cross multiply
    3,418.71x = 5,125.71 × 1,748.74
  4. Step 4: Simplify right side
    3,418.71x = 8,963,534.11
  5. Step 5: Solve for x
    x = 8,963,534.11/3,418.71
  6. Step 6: Final answer
    x = 2,621.91

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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.