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Finding the Fourth Proportional to 3,498.60, 5,244.18 and 1,853.46

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Solution

The fourth proportional to 3,498.60, 5,244.18 and 1,853.46 is: 2,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.60 : 5,244.18 = 1,853.46 : x
  2. Step 2: Convert to fraction form
    3,498.60/5,244.18 = 1,853.46/x
  3. Step 3: Cross multiply
    3,498.60x = 5,244.18 × 1,853.46
  4. Step 4: Simplify right side
    3,498.60x = 9,719,877.86
  5. Step 5: Solve for x
    x = 9,719,877.86/3,498.60
  6. Step 6: Final answer
    x = 2,778.22

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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.