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Finding the Fourth Proportional to 4,270.20, 5,963.70 and 4,270.20

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Solution

The fourth proportional to 4,270.20, 5,963.70 and 4,270.20 is: 5,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.20 : 5,963.70 = 4,270.20 : x
  2. Step 2: Convert to fraction form
    4,270.20/5,963.70 = 4,270.20/x
  3. Step 3: Cross multiply
    4,270.20x = 5,963.70 × 4,270.20
  4. Step 4: Simplify right side
    4,270.20x = 25,466,191.74
  5. Step 5: Solve for x
    x = 25,466,191.74/4,270.20
  6. Step 6: Final answer
    x = 5,963.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.