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Finding the Fourth Proportional to 3,970.95, 5,480.13 and 2,202.52

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Solution

The fourth proportional to 3,970.95, 5,480.13 and 2,202.52 is: 3,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.95 : 5,480.13 = 2,202.52 : x
  2. Step 2: Convert to fraction form
    3,970.95/5,480.13 = 2,202.52/x
  3. Step 3: Cross multiply
    3,970.95x = 5,480.13 × 2,202.52
  4. Step 4: Simplify right side
    3,970.95x = 12,070,095.93
  5. Step 5: Solve for x
    x = 12,070,095.93/3,970.95
  6. Step 6: Final answer
    x = 3,039.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.