Home / 5,982.28-8,972.70-1,600.08

Finding the Fourth Proportional to 5,982.28, 8,972.70 and 1,600.08

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Solution

The fourth proportional to 5,982.28, 8,972.70 and 1,600.08 is: 2,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.28 : 8,972.70 = 1,600.08 : x
  2. Step 2: Convert to fraction form
    5,982.28/8,972.70 = 1,600.08/x
  3. Step 3: Cross multiply
    5,982.28x = 8,972.70 × 1,600.08
  4. Step 4: Simplify right side
    5,982.28x = 14,357,037.82
  5. Step 5: Solve for x
    x = 14,357,037.82/5,982.28
  6. Step 6: Final answer
    x = 2,399.93

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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.