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Finding the Fourth Proportional to 3,681.75, 5,522.63 and 1,084.65

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Solution

The fourth proportional to 3,681.75, 5,522.63 and 1,084.65 is: 1,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.75 : 5,522.63 = 1,084.65 : x
  2. Step 2: Convert to fraction form
    3,681.75/5,522.63 = 1,084.65/x
  3. Step 3: Cross multiply
    3,681.75x = 5,522.63 × 1,084.65
  4. Step 4: Simplify right side
    3,681.75x = 5,990,115.21
  5. Step 5: Solve for x
    x = 5,990,115.21/3,681.75
  6. Step 6: Final answer
    x = 1,626.98

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Why These Related Problems?

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