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Finding the Fourth Proportional to 4,314.54, 6,478.30 and 2,467.74

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Solution

The fourth proportional to 4,314.54, 6,478.30 and 2,467.74 is: 3,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.54 : 6,478.30 = 2,467.74 : x
  2. Step 2: Convert to fraction form
    4,314.54/6,478.30 = 2,467.74/x
  3. Step 3: Cross multiply
    4,314.54x = 6,478.30 × 2,467.74
  4. Step 4: Simplify right side
    4,314.54x = 15,986,763.90
  5. Step 5: Solve for x
    x = 15,986,763.90/4,314.54
  6. Step 6: Final answer
    x = 3,705.32

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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.