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Finding the Fourth Proportional to 3,805.28, 5,697.12 and 2,502.80

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Solution

The fourth proportional to 3,805.28, 5,697.12 and 2,502.80 is: 3,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.28 : 5,697.12 = 2,502.80 : x
  2. Step 2: Convert to fraction form
    3,805.28/5,697.12 = 2,502.80/x
  3. Step 3: Cross multiply
    3,805.28x = 5,697.12 × 2,502.80
  4. Step 4: Simplify right side
    3,805.28x = 14,258,751.94
  5. Step 5: Solve for x
    x = 14,258,751.94/3,805.28
  6. Step 6: Final answer
    x = 3,747.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.