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Finding the Fourth Proportional to 4,240.40, 6,353.64 and 4,078.40

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Solution

The fourth proportional to 4,240.40, 6,353.64 and 4,078.40 is: 6,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.40 : 6,353.64 = 4,078.40 : x
  2. Step 2: Convert to fraction form
    4,240.40/6,353.64 = 4,078.40/x
  3. Step 3: Cross multiply
    4,240.40x = 6,353.64 × 4,078.40
  4. Step 4: Simplify right side
    4,240.40x = 25,912,685.38
  5. Step 5: Solve for x
    x = 25,912,685.38/4,240.40
  6. Step 6: Final answer
    x = 6,110.91

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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.