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Finding the Fourth Proportional to 4,322.78, 5,965.74 and 2,434.54

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Solution

The fourth proportional to 4,322.78, 5,965.74 and 2,434.54 is: 3,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.78 : 5,965.74 = 2,434.54 : x
  2. Step 2: Convert to fraction form
    4,322.78/5,965.74 = 2,434.54/x
  3. Step 3: Cross multiply
    4,322.78x = 5,965.74 × 2,434.54
  4. Step 4: Simplify right side
    4,322.78x = 14,523,832.66
  5. Step 5: Solve for x
    x = 14,523,832.66/4,322.78
  6. Step 6: Final answer
    x = 3,359.84

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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.