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Finding the Fourth Proportional to 5,993.53, 8,993.36 and 3,364

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Solution

The fourth proportional to 5,993.53, 8,993.36 and 3,364 is: 5,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.53 : 8,993.36 = 3,364 : x
  2. Step 2: Convert to fraction form
    5,993.53/8,993.36 = 3,364/x
  3. Step 3: Cross multiply
    5,993.53x = 8,993.36 × 3,364
  4. Step 4: Simplify right side
    5,993.53x = 30,253,663.04
  5. Step 5: Solve for x
    x = 30,253,663.04/5,993.53
  6. Step 6: Final answer
    x = 5,047.72

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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.