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Finding the Fourth Proportional to 4,761.48, 6,573.18 and 3,170.76

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Solution

The fourth proportional to 4,761.48, 6,573.18 and 3,170.76 is: 4,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.48 : 6,573.18 = 3,170.76 : x
  2. Step 2: Convert to fraction form
    4,761.48/6,573.18 = 3,170.76/x
  3. Step 3: Cross multiply
    4,761.48x = 6,573.18 × 3,170.76
  4. Step 4: Simplify right side
    4,761.48x = 20,841,976.22
  5. Step 5: Solve for x
    x = 20,841,976.22/4,761.48
  6. Step 6: Final answer
    x = 4,377.21

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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.