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Finding the Fourth Proportional to 3,065.07, 4,202.15 and 3,009.71

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Solution

The fourth proportional to 3,065.07, 4,202.15 and 3,009.71 is: 4,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.07 : 4,202.15 = 3,009.71 : x
  2. Step 2: Convert to fraction form
    3,065.07/4,202.15 = 3,009.71/x
  3. Step 3: Cross multiply
    3,065.07x = 4,202.15 × 3,009.71
  4. Step 4: Simplify right side
    3,065.07x = 12,647,250.09
  5. Step 5: Solve for x
    x = 12,647,250.09/3,065.07
  6. Step 6: Final answer
    x = 4,126.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.