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Finding the Fourth Proportional to 3,970.49, 5,478.84 and 2,376.81

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Solution

The fourth proportional to 3,970.49, 5,478.84 and 2,376.81 is: 3,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.49 : 5,478.84 = 2,376.81 : x
  2. Step 2: Convert to fraction form
    3,970.49/5,478.84 = 2,376.81/x
  3. Step 3: Cross multiply
    3,970.49x = 5,478.84 × 2,376.81
  4. Step 4: Simplify right side
    3,970.49x = 13,022,161.70
  5. Step 5: Solve for x
    x = 13,022,161.70/3,970.49
  6. Step 6: Final answer
    x = 3,279.74

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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.