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Finding the Fourth Proportional to 3,843.59, 5,759.51 and 2,280.51

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Solution

The fourth proportional to 3,843.59, 5,759.51 and 2,280.51 is: 3,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.59 : 5,759.51 = 2,280.51 : x
  2. Step 2: Convert to fraction form
    3,843.59/5,759.51 = 2,280.51/x
  3. Step 3: Cross multiply
    3,843.59x = 5,759.51 × 2,280.51
  4. Step 4: Simplify right side
    3,843.59x = 13,134,608.75
  5. Step 5: Solve for x
    x = 13,134,608.75/3,843.59
  6. Step 6: Final answer
    x = 3,417.28

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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.