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Finding the Fourth Proportional to 4,761.76, 6,570.96 and 2,665.84

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Solution

The fourth proportional to 4,761.76, 6,570.96 and 2,665.84 is: 3,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.76 : 6,570.96 = 2,665.84 : x
  2. Step 2: Convert to fraction form
    4,761.76/6,570.96 = 2,665.84/x
  3. Step 3: Cross multiply
    4,761.76x = 6,570.96 × 2,665.84
  4. Step 4: Simplify right side
    4,761.76x = 17,517,128.01
  5. Step 5: Solve for x
    x = 17,517,128.01/4,761.76
  6. Step 6: Final answer
    x = 3,678.71

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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.