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Finding the Fourth Proportional to 4,102.56, 5,648.40 and 3,319.20

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Solution

The fourth proportional to 4,102.56, 5,648.40 and 3,319.20 is: 4,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.56 : 5,648.40 = 3,319.20 : x
  2. Step 2: Convert to fraction form
    4,102.56/5,648.40 = 3,319.20/x
  3. Step 3: Cross multiply
    4,102.56x = 5,648.40 × 3,319.20
  4. Step 4: Simplify right side
    4,102.56x = 18,748,169.28
  5. Step 5: Solve for x
    x = 18,748,169.28/4,102.56
  6. Step 6: Final answer
    x = 4,569.87

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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.