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Finding the Fourth Proportional to 5,311.77, 7,330.65 and 3,187.38

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Solution

The fourth proportional to 5,311.77, 7,330.65 and 3,187.38 is: 4,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.77 : 7,330.65 = 3,187.38 : x
  2. Step 2: Convert to fraction form
    5,311.77/7,330.65 = 3,187.38/x
  3. Step 3: Cross multiply
    5,311.77x = 7,330.65 × 3,187.38
  4. Step 4: Simplify right side
    5,311.77x = 23,365,567.20
  5. Step 5: Solve for x
    x = 23,365,567.20/5,311.77
  6. Step 6: Final answer
    x = 4,398.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.