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Finding the Fourth Proportional to 3,801.87, 5,703.14 and 1,462.45

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Solution

The fourth proportional to 3,801.87, 5,703.14 and 1,462.45 is: 2,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.87 : 5,703.14 = 1,462.45 : x
  2. Step 2: Convert to fraction form
    3,801.87/5,703.14 = 1,462.45/x
  3. Step 3: Cross multiply
    3,801.87x = 5,703.14 × 1,462.45
  4. Step 4: Simplify right side
    3,801.87x = 8,340,557.09
  5. Step 5: Solve for x
    x = 8,340,557.09/3,801.87
  6. Step 6: Final answer
    x = 2,193.80

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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.