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Finding the Fourth Proportional to 3,846.71, 5,770.17 and 1,506.62

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Solution

The fourth proportional to 3,846.71, 5,770.17 and 1,506.62 is: 2,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.71 : 5,770.17 = 1,506.62 : x
  2. Step 2: Convert to fraction form
    3,846.71/5,770.17 = 1,506.62/x
  3. Step 3: Cross multiply
    3,846.71x = 5,770.17 × 1,506.62
  4. Step 4: Simplify right side
    3,846.71x = 8,693,424.67
  5. Step 5: Solve for x
    x = 8,693,424.67/3,846.71
  6. Step 6: Final answer
    x = 2,259.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.