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Finding the Fourth Proportional to 3,648.80, 5,473.20 and 2,089.28

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Solution

The fourth proportional to 3,648.80, 5,473.20 and 2,089.28 is: 3,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.80 : 5,473.20 = 2,089.28 : x
  2. Step 2: Convert to fraction form
    3,648.80/5,473.20 = 2,089.28/x
  3. Step 3: Cross multiply
    3,648.80x = 5,473.20 × 2,089.28
  4. Step 4: Simplify right side
    3,648.80x = 11,435,047.30
  5. Step 5: Solve for x
    x = 11,435,047.30/3,648.80
  6. Step 6: Final answer
    x = 3,133.92

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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.