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Finding the Fourth Proportional to 3,970.05, 5,478.94 and 2,201.82

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Solution

The fourth proportional to 3,970.05, 5,478.94 and 2,201.82 is: 3,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.05 : 5,478.94 = 2,201.82 : x
  2. Step 2: Convert to fraction form
    3,970.05/5,478.94 = 2,201.82/x
  3. Step 3: Cross multiply
    3,970.05x = 5,478.94 × 2,201.82
  4. Step 4: Simplify right side
    3,970.05x = 12,063,612.28
  5. Step 5: Solve for x
    x = 12,063,612.28/3,970.05
  6. Step 6: Final answer
    x = 3,038.66

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