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Finding the Fourth Proportional to 4,842.31, 7,252.59 and 4,209.47

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Solution

The fourth proportional to 4,842.31, 7,252.59 and 4,209.47 is: 6,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.31 : 7,252.59 = 4,209.47 : x
  2. Step 2: Convert to fraction form
    4,842.31/7,252.59 = 4,209.47/x
  3. Step 3: Cross multiply
    4,842.31x = 7,252.59 × 4,209.47
  4. Step 4: Simplify right side
    4,842.31x = 30,529,560.03
  5. Step 5: Solve for x
    x = 30,529,560.03/4,842.31
  6. Step 6: Final answer
    x = 6,304.75

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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.