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Finding the Fourth Proportional to 4,712.52, 6,502.84 and 2,824.08

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Solution

The fourth proportional to 4,712.52, 6,502.84 and 2,824.08 is: 3,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.52 : 6,502.84 = 2,824.08 : x
  2. Step 2: Convert to fraction form
    4,712.52/6,502.84 = 2,824.08/x
  3. Step 3: Cross multiply
    4,712.52x = 6,502.84 × 2,824.08
  4. Step 4: Simplify right side
    4,712.52x = 18,364,540.39
  5. Step 5: Solve for x
    x = 18,364,540.39/4,712.52
  6. Step 6: Final answer
    x = 3,896.97

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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.