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Finding the Fourth Proportional to 5,480.22, 7,565.49 and 3,385.56

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Solution

The fourth proportional to 5,480.22, 7,565.49 and 3,385.56 is: 4,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.22 : 7,565.49 = 3,385.56 : x
  2. Step 2: Convert to fraction form
    5,480.22/7,565.49 = 3,385.56/x
  3. Step 3: Cross multiply
    5,480.22x = 7,565.49 × 3,385.56
  4. Step 4: Simplify right side
    5,480.22x = 25,613,420.32
  5. Step 5: Solve for x
    x = 25,613,420.32/5,480.22
  6. Step 6: Final answer
    x = 4,673.79

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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.