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Finding the Fourth Proportional to 4,000.76, 5,993.64 and 2,352.38

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Solution

The fourth proportional to 4,000.76, 5,993.64 and 2,352.38 is: 3,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.76 : 5,993.64 = 2,352.38 : x
  2. Step 2: Convert to fraction form
    4,000.76/5,993.64 = 2,352.38/x
  3. Step 3: Cross multiply
    4,000.76x = 5,993.64 × 2,352.38
  4. Step 4: Simplify right side
    4,000.76x = 14,099,318.86
  5. Step 5: Solve for x
    x = 14,099,318.86/4,000.76
  6. Step 6: Final answer
    x = 3,524.16

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1.5x scale

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.