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Finding the Fourth Proportional to 5,616.40, 7,749.32 and 3,257.20

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Solution

The fourth proportional to 5,616.40, 7,749.32 and 3,257.20 is: 4,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.40 : 7,749.32 = 3,257.20 : x
  2. Step 2: Convert to fraction form
    5,616.40/7,749.32 = 3,257.20/x
  3. Step 3: Cross multiply
    5,616.40x = 7,749.32 × 3,257.20
  4. Step 4: Simplify right side
    5,616.40x = 25,241,085.10
  5. Step 5: Solve for x
    x = 25,241,085.10/5,616.40
  6. Step 6: Final answer
    x = 4,494.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.