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Finding the Fourth Proportional to 3,449.86, 5,173.17 and 1,258.30

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Solution

The fourth proportional to 3,449.86, 5,173.17 and 1,258.30 is: 1,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.86 : 5,173.17 = 1,258.30 : x
  2. Step 2: Convert to fraction form
    3,449.86/5,173.17 = 1,258.30/x
  3. Step 3: Cross multiply
    3,449.86x = 5,173.17 × 1,258.30
  4. Step 4: Simplify right side
    3,449.86x = 6,509,401.56
  5. Step 5: Solve for x
    x = 6,509,401.56/3,449.86
  6. Step 6: Final answer
    x = 1,886.86

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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.