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Finding the Fourth Proportional to 3,969.56, 5,478.98 and 2,377.14

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Solution

The fourth proportional to 3,969.56, 5,478.98 and 2,377.14 is: 3,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.56 : 5,478.98 = 2,377.14 : x
  2. Step 2: Convert to fraction form
    3,969.56/5,478.98 = 2,377.14/x
  3. Step 3: Cross multiply
    3,969.56x = 5,478.98 × 2,377.14
  4. Step 4: Simplify right side
    3,969.56x = 13,024,290.63
  5. Step 5: Solve for x
    x = 13,024,290.63/3,969.56
  6. Step 6: Final answer
    x = 3,281.05

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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.