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Finding the Fourth Proportional to 4,761.81, 6,570.78 and 2,772.45

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Solution

The fourth proportional to 4,761.81, 6,570.78 and 2,772.45 is: 3,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.81 : 6,570.78 = 2,772.45 : x
  2. Step 2: Convert to fraction form
    4,761.81/6,570.78 = 2,772.45/x
  3. Step 3: Cross multiply
    4,761.81x = 6,570.78 × 2,772.45
  4. Step 4: Simplify right side
    4,761.81x = 18,217,159.01
  5. Step 5: Solve for x
    x = 18,217,159.01/4,761.81
  6. Step 6: Final answer
    x = 3,825.68

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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.