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Finding the Fourth Proportional to 3,479.60, 5,220.25 and 1,014.44

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Solution

The fourth proportional to 3,479.60, 5,220.25 and 1,014.44 is: 1,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.60 : 5,220.25 = 1,014.44 : x
  2. Step 2: Convert to fraction form
    3,479.60/5,220.25 = 1,014.44/x
  3. Step 3: Cross multiply
    3,479.60x = 5,220.25 × 1,014.44
  4. Step 4: Simplify right side
    3,479.60x = 5,295,630.41
  5. Step 5: Solve for x
    x = 5,295,630.41/3,479.60
  6. Step 6: Final answer
    x = 1,521.91

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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.