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Finding the Fourth Proportional to 3,101.45, 4,672.86 and 2,805.30

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Solution

The fourth proportional to 3,101.45, 4,672.86 and 2,805.30 is: 4,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.45 : 4,672.86 = 2,805.30 : x
  2. Step 2: Convert to fraction form
    3,101.45/4,672.86 = 2,805.30/x
  3. Step 3: Cross multiply
    3,101.45x = 4,672.86 × 2,805.30
  4. Step 4: Simplify right side
    3,101.45x = 13,108,736.77
  5. Step 5: Solve for x
    x = 13,108,736.77/3,101.45
  6. Step 6: Final answer
    x = 4,226.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.