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Finding the Fourth Proportional to 5,743.40, 8,615.16 and 2,454.44

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Solution

The fourth proportional to 5,743.40, 8,615.16 and 2,454.44 is: 3,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.40 : 8,615.16 = 2,454.44 : x
  2. Step 2: Convert to fraction form
    5,743.40/8,615.16 = 2,454.44/x
  3. Step 3: Cross multiply
    5,743.40x = 8,615.16 × 2,454.44
  4. Step 4: Simplify right side
    5,743.40x = 21,145,393.31
  5. Step 5: Solve for x
    x = 21,145,393.31/5,743.40
  6. Step 6: Final answer
    x = 3,681.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.