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Finding the Fourth Proportional to 3,633.84, 5,436.52 and 3,168.40

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Solution

The fourth proportional to 3,633.84, 5,436.52 and 3,168.40 is: 4,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.84 : 5,436.52 = 3,168.40 : x
  2. Step 2: Convert to fraction form
    3,633.84/5,436.52 = 3,168.40/x
  3. Step 3: Cross multiply
    3,633.84x = 5,436.52 × 3,168.40
  4. Step 4: Simplify right side
    3,633.84x = 17,225,069.97
  5. Step 5: Solve for x
    x = 17,225,069.97/3,633.84
  6. Step 6: Final answer
    x = 4,740.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.