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Finding the Fourth Proportional to 4,616.19, 6,920.01 and 1,842.18

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Solution

The fourth proportional to 4,616.19, 6,920.01 and 1,842.18 is: 2,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.19 : 6,920.01 = 1,842.18 : x
  2. Step 2: Convert to fraction form
    4,616.19/6,920.01 = 1,842.18/x
  3. Step 3: Cross multiply
    4,616.19x = 6,920.01 × 1,842.18
  4. Step 4: Simplify right side
    4,616.19x = 12,747,904.02
  5. Step 5: Solve for x
    x = 12,747,904.02/4,616.19
  6. Step 6: Final answer
    x = 2,761.56

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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.