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Finding the Fourth Proportional to 4,761.64, 6,570.84 and 2,771.92

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Solution

The fourth proportional to 4,761.64, 6,570.84 and 2,771.92 is: 3,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.64 : 6,570.84 = 2,771.92 : x
  2. Step 2: Convert to fraction form
    4,761.64/6,570.84 = 2,771.92/x
  3. Step 3: Cross multiply
    4,761.64x = 6,570.84 × 2,771.92
  4. Step 4: Simplify right side
    4,761.64x = 18,213,842.81
  5. Step 5: Solve for x
    x = 18,213,842.81/4,761.64
  6. Step 6: Final answer
    x = 3,825.12

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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.