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Finding the Fourth Proportional to 6,329, 8,734.02 and 3,534.52

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Solution

The fourth proportional to 6,329, 8,734.02 and 3,534.52 is: 4,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329 : 8,734.02 = 3,534.52 : x
  2. Step 2: Convert to fraction form
    6,329/8,734.02 = 3,534.52/x
  3. Step 3: Cross multiply
    6,329x = 8,734.02 × 3,534.52
  4. Step 4: Simplify right side
    6,329x = 30,870,568.37
  5. Step 5: Solve for x
    x = 30,870,568.37/6,329
  6. Step 6: Final answer
    x = 4,877.64

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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.