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Finding the Fourth Proportional to 3,498.26, 5,248.18 and 1,189.76

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Solution

The fourth proportional to 3,498.26, 5,248.18 and 1,189.76 is: 1,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.26 : 5,248.18 = 1,189.76 : x
  2. Step 2: Convert to fraction form
    3,498.26/5,248.18 = 1,189.76/x
  3. Step 3: Cross multiply
    3,498.26x = 5,248.18 × 1,189.76
  4. Step 4: Simplify right side
    3,498.26x = 6,244,074.64
  5. Step 5: Solve for x
    x = 6,244,074.64/3,498.26
  6. Step 6: Final answer
    x = 1,784.91

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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.