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Finding the Fourth Proportional to 3,498.79, 5,248.96 and 1,524.74

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Solution

The fourth proportional to 3,498.79, 5,248.96 and 1,524.74 is: 2,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.79 : 5,248.96 = 1,524.74 : x
  2. Step 2: Convert to fraction form
    3,498.79/5,248.96 = 1,524.74/x
  3. Step 3: Cross multiply
    3,498.79x = 5,248.96 × 1,524.74
  4. Step 4: Simplify right side
    3,498.79x = 8,003,299.27
  5. Step 5: Solve for x
    x = 8,003,299.27/3,498.79
  6. Step 6: Final answer
    x = 2,287.45

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1.5x scale

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.