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Finding the Fourth Proportional to 3,761.40, 5,188.14 and 2,644.68

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Solution

The fourth proportional to 3,761.40, 5,188.14 and 2,644.68 is: 3,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.40 : 5,188.14 = 2,644.68 : x
  2. Step 2: Convert to fraction form
    3,761.40/5,188.14 = 2,644.68/x
  3. Step 3: Cross multiply
    3,761.40x = 5,188.14 × 2,644.68
  4. Step 4: Simplify right side
    3,761.40x = 13,720,970.10
  5. Step 5: Solve for x
    x = 13,720,970.10/3,761.40
  6. Step 6: Final answer
    x = 3,647.84

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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.