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Finding the Fourth Proportional to 4,154.78, 5,733.44 and 2,362.10

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Solution

The fourth proportional to 4,154.78, 5,733.44 and 2,362.10 is: 3,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.78 : 5,733.44 = 2,362.10 : x
  2. Step 2: Convert to fraction form
    4,154.78/5,733.44 = 2,362.10/x
  3. Step 3: Cross multiply
    4,154.78x = 5,733.44 × 2,362.10
  4. Step 4: Simplify right side
    4,154.78x = 13,542,958.62
  5. Step 5: Solve for x
    x = 13,542,958.62/4,154.78
  6. Step 6: Final answer
    x = 3,259.61

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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.