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Finding the Fourth Proportional to 4,742.82, 6,524.28 and 3,856.68

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Solution

The fourth proportional to 4,742.82, 6,524.28 and 3,856.68 is: 5,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.82 : 6,524.28 = 3,856.68 : x
  2. Step 2: Convert to fraction form
    4,742.82/6,524.28 = 3,856.68/x
  3. Step 3: Cross multiply
    4,742.82x = 6,524.28 × 3,856.68
  4. Step 4: Simplify right side
    4,742.82x = 25,162,060.19
  5. Step 5: Solve for x
    x = 25,162,060.19/4,742.82
  6. Step 6: Final answer
    x = 5,305.30

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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.