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Finding the Fourth Proportional to 3,392.06, 5,097.65 and 2,006.05

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Solution

The fourth proportional to 3,392.06, 5,097.65 and 2,006.05 is: 3,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.06 : 5,097.65 = 2,006.05 : x
  2. Step 2: Convert to fraction form
    3,392.06/5,097.65 = 2,006.05/x
  3. Step 3: Cross multiply
    3,392.06x = 5,097.65 × 2,006.05
  4. Step 4: Simplify right side
    3,392.06x = 10,226,105.26
  5. Step 5: Solve for x
    x = 10,226,105.26/3,392.06
  6. Step 6: Final answer
    x = 3,014.72

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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.