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Finding the Fourth Proportional to 5,002.66, 7,502.76 and 2,078.16

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Solution

The fourth proportional to 5,002.66, 7,502.76 and 2,078.16 is: 3,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.66 : 7,502.76 = 2,078.16 : x
  2. Step 2: Convert to fraction form
    5,002.66/7,502.76 = 2,078.16/x
  3. Step 3: Cross multiply
    5,002.66x = 7,502.76 × 2,078.16
  4. Step 4: Simplify right side
    5,002.66x = 15,591,935.72
  5. Step 5: Solve for x
    x = 15,591,935.72/5,002.66
  6. Step 6: Final answer
    x = 3,116.73

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Why These Related Problems?

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