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Finding the Fourth Proportional to 4,761.68, 6,583.66 and 4,170.52

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Solution

The fourth proportional to 4,761.68, 6,583.66 and 4,170.52 is: 5,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.68 : 6,583.66 = 4,170.52 : x
  2. Step 2: Convert to fraction form
    4,761.68/6,583.66 = 4,170.52/x
  3. Step 3: Cross multiply
    4,761.68x = 6,583.66 × 4,170.52
  4. Step 4: Simplify right side
    4,761.68x = 27,457,285.70
  5. Step 5: Solve for x
    x = 27,457,285.70/4,761.68
  6. Step 6: Final answer
    x = 5,766.30

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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.