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Finding the Fourth Proportional to 5,993.04, 8,989.60 and 1,833.12

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Solution

The fourth proportional to 5,993.04, 8,989.60 and 1,833.12 is: 2,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.04 : 8,989.60 = 1,833.12 : x
  2. Step 2: Convert to fraction form
    5,993.04/8,989.60 = 1,833.12/x
  3. Step 3: Cross multiply
    5,993.04x = 8,989.60 × 1,833.12
  4. Step 4: Simplify right side
    5,993.04x = 16,478,988.50
  5. Step 5: Solve for x
    x = 16,478,988.50/5,993.04
  6. Step 6: Final answer
    x = 2,749.69

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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.