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Finding the Fourth Proportional to 4,154.67, 5,733.40 and 2,266.20

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Solution

The fourth proportional to 4,154.67, 5,733.40 and 2,266.20 is: 3,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.67 : 5,733.40 = 2,266.20 : x
  2. Step 2: Convert to fraction form
    4,154.67/5,733.40 = 2,266.20/x
  3. Step 3: Cross multiply
    4,154.67x = 5,733.40 × 2,266.20
  4. Step 4: Simplify right side
    4,154.67x = 12,993,031.08
  5. Step 5: Solve for x
    x = 12,993,031.08/4,154.67
  6. Step 6: Final answer
    x = 3,127.33

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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.