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Finding the Fourth Proportional to 5,993.59, 8,984.32 and 2,478.74

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Solution

The fourth proportional to 5,993.59, 8,984.32 and 2,478.74 is: 3,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.59 : 8,984.32 = 2,478.74 : x
  2. Step 2: Convert to fraction form
    5,993.59/8,984.32 = 2,478.74/x
  3. Step 3: Cross multiply
    5,993.59x = 8,984.32 × 2,478.74
  4. Step 4: Simplify right side
    5,993.59x = 22,269,822.01
  5. Step 5: Solve for x
    x = 22,269,822.01/5,993.59
  6. Step 6: Final answer
    x = 3,715.61

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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.