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Finding the Fourth Proportional to 3,498.44, 5,244.68 and 1,549.58

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Solution

The fourth proportional to 3,498.44, 5,244.68 and 1,549.58 is: 2,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.44 : 5,244.68 = 1,549.58 : x
  2. Step 2: Convert to fraction form
    3,498.44/5,244.68 = 1,549.58/x
  3. Step 3: Cross multiply
    3,498.44x = 5,244.68 × 1,549.58
  4. Step 4: Simplify right side
    3,498.44x = 8,127,017.26
  5. Step 5: Solve for x
    x = 8,127,017.26/3,498.44
  6. Step 6: Final answer
    x = 2,323.04

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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.