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Finding the Fourth Proportional to 3,762.96, 5,644.49 and 1,424.06

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Solution

The fourth proportional to 3,762.96, 5,644.49 and 1,424.06 is: 2,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.96 : 5,644.49 = 1,424.06 : x
  2. Step 2: Convert to fraction form
    3,762.96/5,644.49 = 1,424.06/x
  3. Step 3: Cross multiply
    3,762.96x = 5,644.49 × 1,424.06
  4. Step 4: Simplify right side
    3,762.96x = 8,038,107.11
  5. Step 5: Solve for x
    x = 8,038,107.11/3,762.96
  6. Step 6: Final answer
    x = 2,136.11

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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.