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Finding the Fourth Proportional to 4,006.41, 6,009.62 and 3,320.97

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Solution

The fourth proportional to 4,006.41, 6,009.62 and 3,320.97 is: 4,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.41 : 6,009.62 = 3,320.97 : x
  2. Step 2: Convert to fraction form
    4,006.41/6,009.62 = 3,320.97/x
  3. Step 3: Cross multiply
    4,006.41x = 6,009.62 × 3,320.97
  4. Step 4: Simplify right side
    4,006.41x = 19,957,751.13
  5. Step 5: Solve for x
    x = 19,957,751.13/4,006.41
  6. Step 6: Final answer
    x = 4,981.46

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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.