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Finding the Fourth Proportional to 5,765.13, 7,950.56 and 4,276.76

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Solution

The fourth proportional to 5,765.13, 7,950.56 and 4,276.76 is: 5,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.13 : 7,950.56 = 4,276.76 : x
  2. Step 2: Convert to fraction form
    5,765.13/7,950.56 = 4,276.76/x
  3. Step 3: Cross multiply
    5,765.13x = 7,950.56 × 4,276.76
  4. Step 4: Simplify right side
    5,765.13x = 34,002,575.85
  5. Step 5: Solve for x
    x = 34,002,575.85/5,765.13
  6. Step 6: Final answer
    x = 5,897.97

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