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Finding the Fourth Proportional to 3,065.72, 4,228.90 and 2,225.44

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Solution

The fourth proportional to 3,065.72, 4,228.90 and 2,225.44 is: 3,069.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.72 : 4,228.90 = 2,225.44 : x
  2. Step 2: Convert to fraction form
    3,065.72/4,228.90 = 2,225.44/x
  3. Step 3: Cross multiply
    3,065.72x = 4,228.90 × 2,225.44
  4. Step 4: Simplify right side
    3,065.72x = 9,411,163.22
  5. Step 5: Solve for x
    x = 9,411,163.22/3,065.72
  6. Step 6: Final answer
    x = 3,069.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.