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Finding the Fourth Proportional to 3,498, 5,247.02 and 1,189.52

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Solution

The fourth proportional to 3,498, 5,247.02 and 1,189.52 is: 1,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498 : 5,247.02 = 1,189.52 : x
  2. Step 2: Convert to fraction form
    3,498/5,247.02 = 1,189.52/x
  3. Step 3: Cross multiply
    3,498x = 5,247.02 × 1,189.52
  4. Step 4: Simplify right side
    3,498x = 6,241,435.23
  5. Step 5: Solve for x
    x = 6,241,435.23/3,498
  6. Step 6: Final answer
    x = 1,784.29

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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.