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Finding the Fourth Proportional to 3,480.40, 5,221.10 and 1,014.89

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Solution

The fourth proportional to 3,480.40, 5,221.10 and 1,014.89 is: 1,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.40 : 5,221.10 = 1,014.89 : x
  2. Step 2: Convert to fraction form
    3,480.40/5,221.10 = 1,014.89/x
  3. Step 3: Cross multiply
    3,480.40x = 5,221.10 × 1,014.89
  4. Step 4: Simplify right side
    3,480.40x = 5,298,857.77
  5. Step 5: Solve for x
    x = 5,298,857.77/3,480.40
  6. Step 6: Final answer
    x = 1,522.49

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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.