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Finding the Fourth Proportional to 2,952.42, 4,061.25 and 2,832.54

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Solution

The fourth proportional to 2,952.42, 4,061.25 and 2,832.54 is: 3,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.42 : 4,061.25 = 2,832.54 : x
  2. Step 2: Convert to fraction form
    2,952.42/4,061.25 = 2,832.54/x
  3. Step 3: Cross multiply
    2,952.42x = 4,061.25 × 2,832.54
  4. Step 4: Simplify right side
    2,952.42x = 11,503,653.08
  5. Step 5: Solve for x
    x = 11,503,653.08/2,952.42
  6. Step 6: Final answer
    x = 3,896.35

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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.