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Finding the Fourth Proportional to 3,970.69, 5,478.30 and 2,644.61

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Solution

The fourth proportional to 3,970.69, 5,478.30 and 2,644.61 is: 3,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.69 : 5,478.30 = 2,644.61 : x
  2. Step 2: Convert to fraction form
    3,970.69/5,478.30 = 2,644.61/x
  3. Step 3: Cross multiply
    3,970.69x = 5,478.30 × 2,644.61
  4. Step 4: Simplify right side
    3,970.69x = 14,487,939.57
  5. Step 5: Solve for x
    x = 14,487,939.57/3,970.69
  6. Step 6: Final answer
    x = 3,648.72

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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.