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Finding the Fourth Proportional to 3,522.40, 5,300.50 and 2,902.17

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Solution

The fourth proportional to 3,522.40, 5,300.50 and 2,902.17 is: 4,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.40 : 5,300.50 = 2,902.17 : x
  2. Step 2: Convert to fraction form
    3,522.40/5,300.50 = 2,902.17/x
  3. Step 3: Cross multiply
    3,522.40x = 5,300.50 × 2,902.17
  4. Step 4: Simplify right side
    3,522.40x = 15,382,952.09
  5. Step 5: Solve for x
    x = 15,382,952.09/3,522.40
  6. Step 6: Final answer
    x = 4,367.18

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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.