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Finding the Fourth Proportional to 4,170.48, 6,257.64 and 2,119.92

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Solution

The fourth proportional to 4,170.48, 6,257.64 and 2,119.92 is: 3,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.48 : 6,257.64 = 2,119.92 : x
  2. Step 2: Convert to fraction form
    4,170.48/6,257.64 = 2,119.92/x
  3. Step 3: Cross multiply
    4,170.48x = 6,257.64 × 2,119.92
  4. Step 4: Simplify right side
    4,170.48x = 13,265,696.19
  5. Step 5: Solve for x
    x = 13,265,696.19/4,170.48
  6. Step 6: Final answer
    x = 3,180.86

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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.