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Finding the Fourth Proportional to 5,447.74, 8,164.42 and 2,159.03

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Solution

The fourth proportional to 5,447.74, 8,164.42 and 2,159.03 is: 3,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.74 : 8,164.42 = 2,159.03 : x
  2. Step 2: Convert to fraction form
    5,447.74/8,164.42 = 2,159.03/x
  3. Step 3: Cross multiply
    5,447.74x = 8,164.42 × 2,159.03
  4. Step 4: Simplify right side
    5,447.74x = 17,627,227.71
  5. Step 5: Solve for x
    x = 17,627,227.71/5,447.74
  6. Step 6: Final answer
    x = 3,235.70

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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.