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Finding the Fourth Proportional to 3,182.91, 4,767.48 and 2,832.32

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Solution

The fourth proportional to 3,182.91, 4,767.48 and 2,832.32 is: 4,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.91 : 4,767.48 = 2,832.32 : x
  2. Step 2: Convert to fraction form
    3,182.91/4,767.48 = 2,832.32/x
  3. Step 3: Cross multiply
    3,182.91x = 4,767.48 × 2,832.32
  4. Step 4: Simplify right side
    3,182.91x = 13,503,005.12
  5. Step 5: Solve for x
    x = 13,503,005.12/3,182.91
  6. Step 6: Final answer
    x = 4,242.35

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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.