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Finding the Fourth Proportional to 5,393.40, 8,078.76 and 2,474.16

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Solution

The fourth proportional to 5,393.40, 8,078.76 and 2,474.16 is: 3,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.40 : 8,078.76 = 2,474.16 : x
  2. Step 2: Convert to fraction form
    5,393.40/8,078.76 = 2,474.16/x
  3. Step 3: Cross multiply
    5,393.40x = 8,078.76 × 2,474.16
  4. Step 4: Simplify right side
    5,393.40x = 19,988,144.84
  5. Step 5: Solve for x
    x = 19,988,144.84/5,393.40
  6. Step 6: Final answer
    x = 3,706.04

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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.