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Finding the Fourth Proportional to 5,931.87, 8,896.56 and 2,234.01

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Solution

The fourth proportional to 5,931.87, 8,896.56 and 2,234.01 is: 3,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.87 : 8,896.56 = 2,234.01 : x
  2. Step 2: Convert to fraction form
    5,931.87/8,896.56 = 2,234.01/x
  3. Step 3: Cross multiply
    5,931.87x = 8,896.56 × 2,234.01
  4. Step 4: Simplify right side
    5,931.87x = 19,875,004.01
  5. Step 5: Solve for x
    x = 19,875,004.01/5,931.87
  6. Step 6: Final answer
    x = 3,350.55

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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.