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Finding the Fourth Proportional to 4,179.57, 6,269.34 and 1,257.78

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Solution

The fourth proportional to 4,179.57, 6,269.34 and 1,257.78 is: 1,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.57 : 6,269.34 = 1,257.78 : x
  2. Step 2: Convert to fraction form
    4,179.57/6,269.34 = 1,257.78/x
  3. Step 3: Cross multiply
    4,179.57x = 6,269.34 × 1,257.78
  4. Step 4: Simplify right side
    4,179.57x = 7,885,450.47
  5. Step 5: Solve for x
    x = 7,885,450.47/4,179.57
  6. Step 6: Final answer
    x = 1,886.67

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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.