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Finding the Fourth Proportional to 3,750.16, 5,169.12 and 3,002.80

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Solution

The fourth proportional to 3,750.16, 5,169.12 and 3,002.80 is: 4,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.16 : 5,169.12 = 3,002.80 : x
  2. Step 2: Convert to fraction form
    3,750.16/5,169.12 = 3,002.80/x
  3. Step 3: Cross multiply
    3,750.16x = 5,169.12 × 3,002.80
  4. Step 4: Simplify right side
    3,750.16x = 15,521,833.54
  5. Step 5: Solve for x
    x = 15,521,833.54/3,750.16
  6. Step 6: Final answer
    x = 4,138.98

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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.