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Finding the Fourth Proportional to 6,335.29, 8,742.63 and 3,502.84

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Solution

The fourth proportional to 6,335.29, 8,742.63 and 3,502.84 is: 4,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.29 : 8,742.63 = 3,502.84 : x
  2. Step 2: Convert to fraction form
    6,335.29/8,742.63 = 3,502.84/x
  3. Step 3: Cross multiply
    6,335.29x = 8,742.63 × 3,502.84
  4. Step 4: Simplify right side
    6,335.29x = 30,624,034.07
  5. Step 5: Solve for x
    x = 30,624,034.07/6,335.29
  6. Step 6: Final answer
    x = 4,833.88

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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.