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Finding the Fourth Proportional to 3,427.92, 5,142.29 and 1,237.68

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Solution

The fourth proportional to 3,427.92, 5,142.29 and 1,237.68 is: 1,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.92 : 5,142.29 = 1,237.68 : x
  2. Step 2: Convert to fraction form
    3,427.92/5,142.29 = 1,237.68/x
  3. Step 3: Cross multiply
    3,427.92x = 5,142.29 × 1,237.68
  4. Step 4: Simplify right side
    3,427.92x = 6,364,503.30
  5. Step 5: Solve for x
    x = 6,364,503.30/3,427.92
  6. Step 6: Final answer
    x = 1,856.67

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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.