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Finding the Fourth Proportional to 3,970.39, 5,478.77 and 2,201.99

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Solution

The fourth proportional to 3,970.39, 5,478.77 and 2,201.99 is: 3,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.39 : 5,478.77 = 2,201.99 : x
  2. Step 2: Convert to fraction form
    3,970.39/5,478.77 = 2,201.99/x
  3. Step 3: Cross multiply
    3,970.39x = 5,478.77 × 2,201.99
  4. Step 4: Simplify right side
    3,970.39x = 12,064,169.36
  5. Step 5: Solve for x
    x = 12,064,169.36/3,970.39
  6. Step 6: Final answer
    x = 3,038.54

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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.