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Finding the Fourth Proportional to 4,842.94, 7,257.12 and 2,242.84

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Solution

The fourth proportional to 4,842.94, 7,257.12 and 2,242.84 is: 3,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.94 : 7,257.12 = 2,242.84 : x
  2. Step 2: Convert to fraction form
    4,842.94/7,257.12 = 2,242.84/x
  3. Step 3: Cross multiply
    4,842.94x = 7,257.12 × 2,242.84
  4. Step 4: Simplify right side
    4,842.94x = 16,276,559.02
  5. Step 5: Solve for x
    x = 16,276,559.02/4,842.94
  6. Step 6: Final answer
    x = 3,360.88

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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.