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Finding the Fourth Proportional to 3,498.96, 5,244.24 and 1,548.96

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Solution

The fourth proportional to 3,498.96, 5,244.24 and 1,548.96 is: 2,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.96 : 5,244.24 = 1,548.96 : x
  2. Step 2: Convert to fraction form
    3,498.96/5,244.24 = 1,548.96/x
  3. Step 3: Cross multiply
    3,498.96x = 5,244.24 × 1,548.96
  4. Step 4: Simplify right side
    3,498.96x = 8,123,117.99
  5. Step 5: Solve for x
    x = 8,123,117.99/3,498.96
  6. Step 6: Final answer
    x = 2,321.58

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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.