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Finding the Fourth Proportional to 3,464.96, 4,779.12 and 2,138.18

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Solution

The fourth proportional to 3,464.96, 4,779.12 and 2,138.18 is: 2,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.96 : 4,779.12 = 2,138.18 : x
  2. Step 2: Convert to fraction form
    3,464.96/4,779.12 = 2,138.18/x
  3. Step 3: Cross multiply
    3,464.96x = 4,779.12 × 2,138.18
  4. Step 4: Simplify right side
    3,464.96x = 10,218,618.80
  5. Step 5: Solve for x
    x = 10,218,618.80/3,464.96
  6. Step 6: Final answer
    x = 2,949.13

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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.