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Finding the Fourth Proportional to 3,757.76, 5,182.40 and 2,498.88

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Solution

The fourth proportional to 3,757.76, 5,182.40 and 2,498.88 is: 3,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.76 : 5,182.40 = 2,498.88 : x
  2. Step 2: Convert to fraction form
    3,757.76/5,182.40 = 2,498.88/x
  3. Step 3: Cross multiply
    3,757.76x = 5,182.40 × 2,498.88
  4. Step 4: Simplify right side
    3,757.76x = 12,950,195.71
  5. Step 5: Solve for x
    x = 12,950,195.71/3,757.76
  6. Step 6: Final answer
    x = 3,446.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.