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Finding the Fourth Proportional to 6,329.16, 8,734.62 and 3,534.84

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Solution

The fourth proportional to 6,329.16, 8,734.62 and 3,534.84 is: 4,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.16 : 8,734.62 = 3,534.84 : x
  2. Step 2: Convert to fraction form
    6,329.16/8,734.62 = 3,534.84/x
  3. Step 3: Cross multiply
    6,329.16x = 8,734.62 × 3,534.84
  4. Step 4: Simplify right side
    6,329.16x = 30,875,484.16
  5. Step 5: Solve for x
    x = 30,875,484.16/6,329.16
  6. Step 6: Final answer
    x = 4,878.29

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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.