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Finding the Fourth Proportional to 3,933.87, 5,898.51 and 1,595.00

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Solution

The fourth proportional to 3,933.87, 5,898.51 and 1,595.00 is: 2,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.87 : 5,898.51 = 1,595.00 : x
  2. Step 2: Convert to fraction form
    3,933.87/5,898.51 = 1,595.00/x
  3. Step 3: Cross multiply
    3,933.87x = 5,898.51 × 1,595.00
  4. Step 4: Simplify right side
    3,933.87x = 9,408,093.96
  5. Step 5: Solve for x
    x = 9,408,093.96/3,933.87
  6. Step 6: Final answer
    x = 2,391.56

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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.