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Finding the Fourth Proportional to 4,154.87, 5,733.60 and 2,266.44

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Solution

The fourth proportional to 4,154.87, 5,733.60 and 2,266.44 is: 3,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.87 : 5,733.60 = 2,266.44 : x
  2. Step 2: Convert to fraction form
    4,154.87/5,733.60 = 2,266.44/x
  3. Step 3: Cross multiply
    4,154.87x = 5,733.60 × 2,266.44
  4. Step 4: Simplify right side
    4,154.87x = 12,994,860.38
  5. Step 5: Solve for x
    x = 12,994,860.38/4,154.87
  6. Step 6: Final answer
    x = 3,127.63

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Why These Related Problems?

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