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Finding the Fourth Proportional to 5,176.56, 7,761.98 and 4,077.66

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Solution

The fourth proportional to 5,176.56, 7,761.98 and 4,077.66 is: 6,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.56 : 7,761.98 = 4,077.66 : x
  2. Step 2: Convert to fraction form
    5,176.56/7,761.98 = 4,077.66/x
  3. Step 3: Cross multiply
    5,176.56x = 7,761.98 × 4,077.66
  4. Step 4: Simplify right side
    5,176.56x = 31,650,715.37
  5. Step 5: Solve for x
    x = 31,650,715.37/5,176.56
  6. Step 6: Final answer
    x = 6,114.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.