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Finding the Fourth Proportional to 3,970.30, 5,478.42 and 2,201.92

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Solution

The fourth proportional to 3,970.30, 5,478.42 and 2,201.92 is: 3,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.30 : 5,478.42 = 2,201.92 : x
  2. Step 2: Convert to fraction form
    3,970.30/5,478.42 = 2,201.92/x
  3. Step 3: Cross multiply
    3,970.30x = 5,478.42 × 2,201.92
  4. Step 4: Simplify right side
    3,970.30x = 12,063,015.17
  5. Step 5: Solve for x
    x = 12,063,015.17/3,970.30
  6. Step 6: Final answer
    x = 3,038.32

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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.