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Finding the Fourth Proportional to 4,000.29, 5,998.83 and 1,658.70

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Solution

The fourth proportional to 4,000.29, 5,998.83 and 1,658.70 is: 2,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.29 : 5,998.83 = 1,658.70 : x
  2. Step 2: Convert to fraction form
    4,000.29/5,998.83 = 1,658.70/x
  3. Step 3: Cross multiply
    4,000.29x = 5,998.83 × 1,658.70
  4. Step 4: Simplify right side
    4,000.29x = 9,950,276.10
  5. Step 5: Solve for x
    x = 9,950,276.10/4,000.29
  6. Step 6: Final answer
    x = 2,487.39

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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.