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Finding the Fourth Proportional to 4,006.70, 5,998.36 and 2,335.72

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Solution

The fourth proportional to 4,006.70, 5,998.36 and 2,335.72 is: 3,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.70 : 5,998.36 = 2,335.72 : x
  2. Step 2: Convert to fraction form
    4,006.70/5,998.36 = 2,335.72/x
  3. Step 3: Cross multiply
    4,006.70x = 5,998.36 × 2,335.72
  4. Step 4: Simplify right side
    4,006.70x = 14,010,489.42
  5. Step 5: Solve for x
    x = 14,010,489.42/4,006.70
  6. Step 6: Final answer
    x = 3,496.77

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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.