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Finding the Fourth Proportional to 5,540.06, 7,645.10 and 3,182.16

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Solution

The fourth proportional to 5,540.06, 7,645.10 and 3,182.16 is: 4,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.06 : 7,645.10 = 3,182.16 : x
  2. Step 2: Convert to fraction form
    5,540.06/7,645.10 = 3,182.16/x
  3. Step 3: Cross multiply
    5,540.06x = 7,645.10 × 3,182.16
  4. Step 4: Simplify right side
    5,540.06x = 24,327,931.42
  5. Step 5: Solve for x
    x = 24,327,931.42/5,540.06
  6. Step 6: Final answer
    x = 4,391.28

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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.