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Finding the Fourth Proportional to 4,091, 5,645.70 and 2,228.12

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Solution

The fourth proportional to 4,091, 5,645.70 and 2,228.12 is: 3,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091 : 5,645.70 = 2,228.12 : x
  2. Step 2: Convert to fraction form
    4,091/5,645.70 = 2,228.12/x
  3. Step 3: Cross multiply
    4,091x = 5,645.70 × 2,228.12
  4. Step 4: Simplify right side
    4,091x = 12,579,297.08
  5. Step 5: Solve for x
    x = 12,579,297.08/4,091
  6. Step 6: Final answer
    x = 3,074.87

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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.