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Finding the Fourth Proportional to 4,616.12, 6,926.92 and 1,844.10

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Solution

The fourth proportional to 4,616.12, 6,926.92 and 1,844.10 is: 2,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.12 : 6,926.92 = 1,844.10 : x
  2. Step 2: Convert to fraction form
    4,616.12/6,926.92 = 1,844.10/x
  3. Step 3: Cross multiply
    4,616.12x = 6,926.92 × 1,844.10
  4. Step 4: Simplify right side
    4,616.12x = 12,773,928.56
  5. Step 5: Solve for x
    x = 12,773,928.56/4,616.12
  6. Step 6: Final answer
    x = 2,767.24

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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.