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Finding the Fourth Proportional to 4,761.05, 6,569.71 and 2,771.42

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Solution

The fourth proportional to 4,761.05, 6,569.71 and 2,771.42 is: 3,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.05 : 6,569.71 = 2,771.42 : x
  2. Step 2: Convert to fraction form
    4,761.05/6,569.71 = 2,771.42/x
  3. Step 3: Cross multiply
    4,761.05x = 6,569.71 × 2,771.42
  4. Step 4: Simplify right side
    4,761.05x = 18,207,385.91
  5. Step 5: Solve for x
    x = 18,207,385.91/4,761.05
  6. Step 6: Final answer
    x = 3,824.24

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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.