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Finding the Fourth Proportional to 3,970.40, 5,479.55 and 2,202.34

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Solution

The fourth proportional to 3,970.40, 5,479.55 and 2,202.34 is: 3,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.40 : 5,479.55 = 2,202.34 : x
  2. Step 2: Convert to fraction form
    3,970.40/5,479.55 = 2,202.34/x
  3. Step 3: Cross multiply
    3,970.40x = 5,479.55 × 2,202.34
  4. Step 4: Simplify right side
    3,970.40x = 12,067,821.14
  5. Step 5: Solve for x
    x = 12,067,821.14/3,970.40
  6. Step 6: Final answer
    x = 3,039.45

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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.