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Finding the Fourth Proportional to 3,564.26, 5,347.14 and 1,098.88

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Solution

The fourth proportional to 3,564.26, 5,347.14 and 1,098.88 is: 1,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.26 : 5,347.14 = 1,098.88 : x
  2. Step 2: Convert to fraction form
    3,564.26/5,347.14 = 1,098.88/x
  3. Step 3: Cross multiply
    3,564.26x = 5,347.14 × 1,098.88
  4. Step 4: Simplify right side
    3,564.26x = 5,875,865.20
  5. Step 5: Solve for x
    x = 5,875,865.20/3,564.26
  6. Step 6: Final answer
    x = 1,648.55

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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.