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Finding the Fourth Proportional to 3,969.98, 5,478.29 and 2,177.18

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Solution

The fourth proportional to 3,969.98, 5,478.29 and 2,177.18 is: 3,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.98 : 5,478.29 = 2,177.18 : x
  2. Step 2: Convert to fraction form
    3,969.98/5,478.29 = 2,177.18/x
  3. Step 3: Cross multiply
    3,969.98x = 5,478.29 × 2,177.18
  4. Step 4: Simplify right side
    3,969.98x = 11,927,185.14
  5. Step 5: Solve for x
    x = 11,927,185.14/3,969.98
  6. Step 6: Final answer
    x = 3,004.35

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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.