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Finding the Fourth Proportional to 3,412.67, 5,118.61 and 2,007.93

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Solution

The fourth proportional to 3,412.67, 5,118.61 and 2,007.93 is: 3,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.67 : 5,118.61 = 2,007.93 : x
  2. Step 2: Convert to fraction form
    3,412.67/5,118.61 = 2,007.93/x
  3. Step 3: Cross multiply
    3,412.67x = 5,118.61 × 2,007.93
  4. Step 4: Simplify right side
    3,412.67x = 10,277,811.39
  5. Step 5: Solve for x
    x = 10,277,811.39/3,412.67
  6. Step 6: Final answer
    x = 3,011.66

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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.