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Finding the Fourth Proportional to 3,693.12, 5,544 and 3,084

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Solution

The fourth proportional to 3,693.12, 5,544 and 3,084 is: 4,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.12 : 5,544 = 3,084 : x
  2. Step 2: Convert to fraction form
    3,693.12/5,544 = 3,084/x
  3. Step 3: Cross multiply
    3,693.12x = 5,544 × 3,084
  4. Step 4: Simplify right side
    3,693.12x = 17,097,696
  5. Step 5: Solve for x
    x = 17,097,696/3,693.12
  6. Step 6: Final answer
    x = 4,629.61

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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.