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Finding the Fourth Proportional to 4,952.16, 6,832.62 and 3,062.84

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Solution

The fourth proportional to 4,952.16, 6,832.62 and 3,062.84 is: 4,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.16 : 6,832.62 = 3,062.84 : x
  2. Step 2: Convert to fraction form
    4,952.16/6,832.62 = 3,062.84/x
  3. Step 3: Cross multiply
    4,952.16x = 6,832.62 × 3,062.84
  4. Step 4: Simplify right side
    4,952.16x = 20,927,187.68
  5. Step 5: Solve for x
    x = 20,927,187.68/4,952.16
  6. Step 6: Final answer
    x = 4,225.87

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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.