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Finding the Fourth Proportional to 3,840.98, 5,761.01 and 2,260.65

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Solution

The fourth proportional to 3,840.98, 5,761.01 and 2,260.65 is: 3,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.98 : 5,761.01 = 2,260.65 : x
  2. Step 2: Convert to fraction form
    3,840.98/5,761.01 = 2,260.65/x
  3. Step 3: Cross multiply
    3,840.98x = 5,761.01 × 2,260.65
  4. Step 4: Simplify right side
    3,840.98x = 13,023,627.26
  5. Step 5: Solve for x
    x = 13,023,627.26/3,840.98
  6. Step 6: Final answer
    x = 3,390.70

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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.