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Finding the Fourth Proportional to 3,498.34, 5,249.52 and 1,854.88

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Solution

The fourth proportional to 3,498.34, 5,249.52 and 1,854.88 is: 2,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.34 : 5,249.52 = 1,854.88 : x
  2. Step 2: Convert to fraction form
    3,498.34/5,249.52 = 1,854.88/x
  3. Step 3: Cross multiply
    3,498.34x = 5,249.52 × 1,854.88
  4. Step 4: Simplify right side
    3,498.34x = 9,737,229.66
  5. Step 5: Solve for x
    x = 9,737,229.66/3,498.34
  6. Step 6: Final answer
    x = 2,783.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.