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Finding the Fourth Proportional to 3,617.47, 5,428.26 and 1,427.74

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Solution

The fourth proportional to 3,617.47, 5,428.26 and 1,427.74 is: 2,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.47 : 5,428.26 = 1,427.74 : x
  2. Step 2: Convert to fraction form
    3,617.47/5,428.26 = 1,427.74/x
  3. Step 3: Cross multiply
    3,617.47x = 5,428.26 × 1,427.74
  4. Step 4: Simplify right side
    3,617.47x = 7,750,143.93
  5. Step 5: Solve for x
    x = 7,750,143.93/3,617.47
  6. Step 6: Final answer
    x = 2,142.42

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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.