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Finding the Fourth Proportional to 3,970.54, 5,478.09 and 2,291.74

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Solution

The fourth proportional to 3,970.54, 5,478.09 and 2,291.74 is: 3,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.54 : 5,478.09 = 2,291.74 : x
  2. Step 2: Convert to fraction form
    3,970.54/5,478.09 = 2,291.74/x
  3. Step 3: Cross multiply
    3,970.54x = 5,478.09 × 2,291.74
  4. Step 4: Simplify right side
    3,970.54x = 12,554,347.95
  5. Step 5: Solve for x
    x = 12,554,347.95/3,970.54
  6. Step 6: Final answer
    x = 3,161.87

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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.