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Finding the Fourth Proportional to 5,002.75, 7,502.71 and 2,077.44

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Solution

The fourth proportional to 5,002.75, 7,502.71 and 2,077.44 is: 3,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.75 : 7,502.71 = 2,077.44 : x
  2. Step 2: Convert to fraction form
    5,002.75/7,502.71 = 2,077.44/x
  3. Step 3: Cross multiply
    5,002.75x = 7,502.71 × 2,077.44
  4. Step 4: Simplify right side
    5,002.75x = 15,586,429.86
  5. Step 5: Solve for x
    x = 15,586,429.86/5,002.75
  6. Step 6: Final answer
    x = 3,115.57

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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.