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Finding the Fourth Proportional to 3,584.18, 5,376.02 and 1,243.62

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Solution

The fourth proportional to 3,584.18, 5,376.02 and 1,243.62 is: 1,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.18 : 5,376.02 = 1,243.62 : x
  2. Step 2: Convert to fraction form
    3,584.18/5,376.02 = 1,243.62/x
  3. Step 3: Cross multiply
    3,584.18x = 5,376.02 × 1,243.62
  4. Step 4: Simplify right side
    3,584.18x = 6,685,725.99
  5. Step 5: Solve for x
    x = 6,685,725.99/3,584.18
  6. Step 6: Final answer
    x = 1,865.34

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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.