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Finding the Fourth Proportional to 3,498.93, 5,248.41 and 1,418.55

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Solution

The fourth proportional to 3,498.93, 5,248.41 and 1,418.55 is: 2,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.93 : 5,248.41 = 1,418.55 : x
  2. Step 2: Convert to fraction form
    3,498.93/5,248.41 = 1,418.55/x
  3. Step 3: Cross multiply
    3,498.93x = 5,248.41 × 1,418.55
  4. Step 4: Simplify right side
    3,498.93x = 7,445,116.85
  5. Step 5: Solve for x
    x = 7,445,116.85/3,498.93
  6. Step 6: Final answer
    x = 2,127.83

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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.