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Finding the Fourth Proportional to 3,167.91, 4,753.92 and 1,708.08

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Solution

The fourth proportional to 3,167.91, 4,753.92 and 1,708.08 is: 2,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.91 : 4,753.92 = 1,708.08 : x
  2. Step 2: Convert to fraction form
    3,167.91/4,753.92 = 1,708.08/x
  3. Step 3: Cross multiply
    3,167.91x = 4,753.92 × 1,708.08
  4. Step 4: Simplify right side
    3,167.91x = 8,120,075.67
  5. Step 5: Solve for x
    x = 8,120,075.67/3,167.91
  6. Step 6: Final answer
    x = 2,563.23

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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.