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Finding the Fourth Proportional to 5,776.31, 7,971.31 and 3,123.72

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Solution

The fourth proportional to 5,776.31, 7,971.31 and 3,123.72 is: 4,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.31 : 7,971.31 = 3,123.72 : x
  2. Step 2: Convert to fraction form
    5,776.31/7,971.31 = 3,123.72/x
  3. Step 3: Cross multiply
    5,776.31x = 7,971.31 × 3,123.72
  4. Step 4: Simplify right side
    5,776.31x = 24,900,140.47
  5. Step 5: Solve for x
    x = 24,900,140.47/5,776.31
  6. Step 6: Final answer
    x = 4,310.73

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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.