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Finding the Fourth Proportional to 3,427.70, 5,144.28 and 1,237.96

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Solution

The fourth proportional to 3,427.70, 5,144.28 and 1,237.96 is: 1,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.70 : 5,144.28 = 1,237.96 : x
  2. Step 2: Convert to fraction form
    3,427.70/5,144.28 = 1,237.96/x
  3. Step 3: Cross multiply
    3,427.70x = 5,144.28 × 1,237.96
  4. Step 4: Simplify right side
    3,427.70x = 6,368,412.87
  5. Step 5: Solve for x
    x = 6,368,412.87/3,427.70
  6. Step 6: Final answer
    x = 1,857.93

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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.