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Finding the Fourth Proportional to 4,098.24, 5,654.24 and 2,396.36

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Solution

The fourth proportional to 4,098.24, 5,654.24 and 2,396.36 is: 3,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.24 : 5,654.24 = 2,396.36 : x
  2. Step 2: Convert to fraction form
    4,098.24/5,654.24 = 2,396.36/x
  3. Step 3: Cross multiply
    4,098.24x = 5,654.24 × 2,396.36
  4. Step 4: Simplify right side
    4,098.24x = 13,549,594.57
  5. Step 5: Solve for x
    x = 13,549,594.57/4,098.24
  6. Step 6: Final answer
    x = 3,306.20

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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.