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Finding the Fourth Proportional to 4,761.64, 6,571.08 and 2,665.76

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Solution

The fourth proportional to 4,761.64, 6,571.08 and 2,665.76 is: 3,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.64 : 6,571.08 = 2,665.76 : x
  2. Step 2: Convert to fraction form
    4,761.64/6,571.08 = 2,665.76/x
  3. Step 3: Cross multiply
    4,761.64x = 6,571.08 × 2,665.76
  4. Step 4: Simplify right side
    4,761.64x = 17,516,922.22
  5. Step 5: Solve for x
    x = 17,516,922.22/4,761.64
  6. Step 6: Final answer
    x = 3,678.76

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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.