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Finding the Fourth Proportional to 4,294.08, 6,441.12 and 2,842.44

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Solution

The fourth proportional to 4,294.08, 6,441.12 and 2,842.44 is: 4,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.08 : 6,441.12 = 2,842.44 : x
  2. Step 2: Convert to fraction form
    4,294.08/6,441.12 = 2,842.44/x
  3. Step 3: Cross multiply
    4,294.08x = 6,441.12 × 2,842.44
  4. Step 4: Simplify right side
    4,294.08x = 18,308,497.13
  5. Step 5: Solve for x
    x = 18,308,497.13/4,294.08
  6. Step 6: Final answer
    x = 4,263.66

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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.