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Finding the Fourth Proportional to 4,342.14, 6,512.19 and 2,000.69

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Solution

The fourth proportional to 4,342.14, 6,512.19 and 2,000.69 is: 3,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.14 : 6,512.19 = 2,000.69 : x
  2. Step 2: Convert to fraction form
    4,342.14/6,512.19 = 2,000.69/x
  3. Step 3: Cross multiply
    4,342.14x = 6,512.19 × 2,000.69
  4. Step 4: Simplify right side
    4,342.14x = 13,028,857.77
  5. Step 5: Solve for x
    x = 13,028,857.77/4,342.14
  6. Step 6: Final answer
    x = 3,000.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.