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Finding the Fourth Proportional to 4,842.56, 7,262.76 and 1,920.08

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Solution

The fourth proportional to 4,842.56, 7,262.76 and 1,920.08 is: 2,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.56 : 7,262.76 = 1,920.08 : x
  2. Step 2: Convert to fraction form
    4,842.56/7,262.76 = 1,920.08/x
  3. Step 3: Cross multiply
    4,842.56x = 7,262.76 × 1,920.08
  4. Step 4: Simplify right side
    4,842.56x = 13,945,080.22
  5. Step 5: Solve for x
    x = 13,945,080.22/4,842.56
  6. Step 6: Final answer
    x = 2,879.69

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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.