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Finding the Fourth Proportional to 6,522.84, 9,002.81 and 3,690.23

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Solution

The fourth proportional to 6,522.84, 9,002.81 and 3,690.23 is: 5,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.84 : 9,002.81 = 3,690.23 : x
  2. Step 2: Convert to fraction form
    6,522.84/9,002.81 = 3,690.23/x
  3. Step 3: Cross multiply
    6,522.84x = 9,002.81 × 3,690.23
  4. Step 4: Simplify right side
    6,522.84x = 33,222,376.08
  5. Step 5: Solve for x
    x = 33,222,376.08/6,522.84
  6. Step 6: Final answer
    x = 5,093.24

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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.