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Finding the Fourth Proportional to 4,321.77, 5,964.56 and 2,433.66

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Solution

The fourth proportional to 4,321.77, 5,964.56 and 2,433.66 is: 3,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.77 : 5,964.56 = 2,433.66 : x
  2. Step 2: Convert to fraction form
    4,321.77/5,964.56 = 2,433.66/x
  3. Step 3: Cross multiply
    4,321.77x = 5,964.56 × 2,433.66
  4. Step 4: Simplify right side
    4,321.77x = 14,515,698.92
  5. Step 5: Solve for x
    x = 14,515,698.92/4,321.77
  6. Step 6: Final answer
    x = 3,358.74

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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.