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Finding the Fourth Proportional to 3,155.12, 4,732.12 and 846.08

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Solution

The fourth proportional to 3,155.12, 4,732.12 and 846.08 is: 1,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.12 : 4,732.12 = 846.08 : x
  2. Step 2: Convert to fraction form
    3,155.12/4,732.12 = 846.08/x
  3. Step 3: Cross multiply
    3,155.12x = 4,732.12 × 846.08
  4. Step 4: Simplify right side
    3,155.12x = 4,003,752.09
  5. Step 5: Solve for x
    x = 4,003,752.09/3,155.12
  6. Step 6: Final answer
    x = 1,268.97

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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.