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Finding the Fourth Proportional to 4,963.20, 7,440 and 1,842.32

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Solution

The fourth proportional to 4,963.20, 7,440 and 1,842.32 is: 2,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.20 : 7,440 = 1,842.32 : x
  2. Step 2: Convert to fraction form
    4,963.20/7,440 = 1,842.32/x
  3. Step 3: Cross multiply
    4,963.20x = 7,440 × 1,842.32
  4. Step 4: Simplify right side
    4,963.20x = 13,706,860.80
  5. Step 5: Solve for x
    x = 13,706,860.80/4,963.20
  6. Step 6: Final answer
    x = 2,761.70

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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.