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Finding the Fourth Proportional to 4,105.59, 6,159.80 and 2,254.33

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Solution

The fourth proportional to 4,105.59, 6,159.80 and 2,254.33 is: 3,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.59 : 6,159.80 = 2,254.33 : x
  2. Step 2: Convert to fraction form
    4,105.59/6,159.80 = 2,254.33/x
  3. Step 3: Cross multiply
    4,105.59x = 6,159.80 × 2,254.33
  4. Step 4: Simplify right side
    4,105.59x = 13,886,221.93
  5. Step 5: Solve for x
    x = 13,886,221.93/4,105.59
  6. Step 6: Final answer
    x = 3,382.27

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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.