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Finding the Fourth Proportional to 5,764.76, 7,938.62 and 5,008.20

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Solution

The fourth proportional to 5,764.76, 7,938.62 and 5,008.20 is: 6,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.76 : 7,938.62 = 5,008.20 : x
  2. Step 2: Convert to fraction form
    5,764.76/7,938.62 = 5,008.20/x
  3. Step 3: Cross multiply
    5,764.76x = 7,938.62 × 5,008.20
  4. Step 4: Simplify right side
    5,764.76x = 39,758,211.15
  5. Step 5: Solve for x
    x = 39,758,211.15/5,764.76
  6. Step 6: Final answer
    x = 6,896.76

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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.