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Finding the Fourth Proportional to 5,993, 8,989.50 and 2,345

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Solution

The fourth proportional to 5,993, 8,989.50 and 2,345 is: 3,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993 : 8,989.50 = 2,345 : x
  2. Step 2: Convert to fraction form
    5,993/8,989.50 = 2,345/x
  3. Step 3: Cross multiply
    5,993x = 8,989.50 × 2,345
  4. Step 4: Simplify right side
    5,993x = 21,080,377.50
  5. Step 5: Solve for x
    x = 21,080,377.50/5,993
  6. Step 6: Final answer
    x = 3,517.50

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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.