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Finding the Fourth Proportional to 3,761.48, 5,193.21 and 2,417.69

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Solution

The fourth proportional to 3,761.48, 5,193.21 and 2,417.69 is: 3,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.48 : 5,193.21 = 2,417.69 : x
  2. Step 2: Convert to fraction form
    3,761.48/5,193.21 = 2,417.69/x
  3. Step 3: Cross multiply
    3,761.48x = 5,193.21 × 2,417.69
  4. Step 4: Simplify right side
    3,761.48x = 12,555,571.88
  5. Step 5: Solve for x
    x = 12,555,571.88/3,761.48
  6. Step 6: Final answer
    x = 3,337.93

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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.