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Finding the Fourth Proportional to 3,648.27, 5,023.58 and 3,057.78

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Solution

The fourth proportional to 3,648.27, 5,023.58 and 3,057.78 is: 4,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.27 : 5,023.58 = 3,057.78 : x
  2. Step 2: Convert to fraction form
    3,648.27/5,023.58 = 3,057.78/x
  3. Step 3: Cross multiply
    3,648.27x = 5,023.58 × 3,057.78
  4. Step 4: Simplify right side
    3,648.27x = 15,360,987.16
  5. Step 5: Solve for x
    x = 15,360,987.16/3,648.27
  6. Step 6: Final answer
    x = 4,210.49

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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.