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Finding the Fourth Proportional to 3,687.94, 5,532.31 and 1,223.01

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Solution

The fourth proportional to 3,687.94, 5,532.31 and 1,223.01 is: 1,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.94 : 5,532.31 = 1,223.01 : x
  2. Step 2: Convert to fraction form
    3,687.94/5,532.31 = 1,223.01/x
  3. Step 3: Cross multiply
    3,687.94x = 5,532.31 × 1,223.01
  4. Step 4: Simplify right side
    3,687.94x = 6,766,081.48
  5. Step 5: Solve for x
    x = 6,766,081.48/3,687.94
  6. Step 6: Final answer
    x = 1,834.65

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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.