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Finding the Fourth Proportional to 3,599.65, 5,389.75 and 2,297.17

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Solution

The fourth proportional to 3,599.65, 5,389.75 and 2,297.17 is: 3,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.65 : 5,389.75 = 2,297.17 : x
  2. Step 2: Convert to fraction form
    3,599.65/5,389.75 = 2,297.17/x
  3. Step 3: Cross multiply
    3,599.65x = 5,389.75 × 2,297.17
  4. Step 4: Simplify right side
    3,599.65x = 12,381,172.01
  5. Step 5: Solve for x
    x = 12,381,172.01/3,599.65
  6. Step 6: Final answer
    x = 3,439.55

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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.