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Finding the Fourth Proportional to 3,508.84, 4,842.19 and 2,016.65

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Solution

The fourth proportional to 3,508.84, 4,842.19 and 2,016.65 is: 2,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.84 : 4,842.19 = 2,016.65 : x
  2. Step 2: Convert to fraction form
    3,508.84/4,842.19 = 2,016.65/x
  3. Step 3: Cross multiply
    3,508.84x = 4,842.19 × 2,016.65
  4. Step 4: Simplify right side
    3,508.84x = 9,765,002.46
  5. Step 5: Solve for x
    x = 9,765,002.46/3,508.84
  6. Step 6: Final answer
    x = 2,782.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.