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Finding the Fourth Proportional to 4,191.86, 6,287.80 and 2,000.08

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Solution

The fourth proportional to 4,191.86, 6,287.80 and 2,000.08 is: 3,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.86 : 6,287.80 = 2,000.08 : x
  2. Step 2: Convert to fraction form
    4,191.86/6,287.80 = 2,000.08/x
  3. Step 3: Cross multiply
    4,191.86x = 6,287.80 × 2,000.08
  4. Step 4: Simplify right side
    4,191.86x = 12,576,093.76
  5. Step 5: Solve for x
    x = 12,576,093.76/4,191.86
  6. Step 6: Final answer
    x = 3,000.12

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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.