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Finding the Fourth Proportional to 3,648.16, 5,469.49 and 2,259.37

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Solution

The fourth proportional to 3,648.16, 5,469.49 and 2,259.37 is: 3,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.16 : 5,469.49 = 2,259.37 : x
  2. Step 2: Convert to fraction form
    3,648.16/5,469.49 = 2,259.37/x
  3. Step 3: Cross multiply
    3,648.16x = 5,469.49 × 2,259.37
  4. Step 4: Simplify right side
    3,648.16x = 12,357,601.62
  5. Step 5: Solve for x
    x = 12,357,601.62/3,648.16
  6. Step 6: Final answer
    x = 3,387.35

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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.