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Finding the Fourth Proportional to 3,969.42, 5,477.67 and 2,397.24

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Solution

The fourth proportional to 3,969.42, 5,477.67 and 2,397.24 is: 3,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.42 : 5,477.67 = 2,397.24 : x
  2. Step 2: Convert to fraction form
    3,969.42/5,477.67 = 2,397.24/x
  3. Step 3: Cross multiply
    3,969.42x = 5,477.67 × 2,397.24
  4. Step 4: Simplify right side
    3,969.42x = 13,131,289.63
  5. Step 5: Solve for x
    x = 13,131,289.63/3,969.42
  6. Step 6: Final answer
    x = 3,308.11

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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.