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Finding the Fourth Proportional to 5,167.16, 7,701 and 5,158.96

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Solution

The fourth proportional to 5,167.16, 7,701 and 5,158.96 is: 7,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.16 : 7,701 = 5,158.96 : x
  2. Step 2: Convert to fraction form
    5,167.16/7,701 = 5,158.96/x
  3. Step 3: Cross multiply
    5,167.16x = 7,701 × 5,158.96
  4. Step 4: Simplify right side
    5,167.16x = 39,729,150.96
  5. Step 5: Solve for x
    x = 39,729,150.96/5,167.16
  6. Step 6: Final answer
    x = 7,688.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.