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Finding the Fourth Proportional to 3,480.80, 5,220.18 and 1,014.96

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Solution

The fourth proportional to 3,480.80, 5,220.18 and 1,014.96 is: 1,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.80 : 5,220.18 = 1,014.96 : x
  2. Step 2: Convert to fraction form
    3,480.80/5,220.18 = 1,014.96/x
  3. Step 3: Cross multiply
    3,480.80x = 5,220.18 × 1,014.96
  4. Step 4: Simplify right side
    3,480.80x = 5,298,273.89
  5. Step 5: Solve for x
    x = 5,298,273.89/3,480.80
  6. Step 6: Final answer
    x = 1,522.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.