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Finding the Fourth Proportional to 4,322.31, 5,964.03 and 2,554.47

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Solution

The fourth proportional to 4,322.31, 5,964.03 and 2,554.47 is: 3,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.31 : 5,964.03 = 2,554.47 : x
  2. Step 2: Convert to fraction form
    4,322.31/5,964.03 = 2,554.47/x
  3. Step 3: Cross multiply
    4,322.31x = 5,964.03 × 2,554.47
  4. Step 4: Simplify right side
    4,322.31x = 15,234,935.71
  5. Step 5: Solve for x
    x = 15,234,935.71/4,322.31
  6. Step 6: Final answer
    x = 3,524.72

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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.