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Finding the Fourth Proportional to 4,191.84, 6,290.82 and 2,000.58

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Solution

The fourth proportional to 4,191.84, 6,290.82 and 2,000.58 is: 3,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.84 : 6,290.82 = 2,000.58 : x
  2. Step 2: Convert to fraction form
    4,191.84/6,290.82 = 2,000.58/x
  3. Step 3: Cross multiply
    4,191.84x = 6,290.82 × 2,000.58
  4. Step 4: Simplify right side
    4,191.84x = 12,585,288.68
  5. Step 5: Solve for x
    x = 12,585,288.68/4,191.84
  6. Step 6: Final answer
    x = 3,002.33

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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.