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Finding the Fourth Proportional to 4,322.77, 5,964.47 and 2,553.46

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Solution

The fourth proportional to 4,322.77, 5,964.47 and 2,553.46 is: 3,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.77 : 5,964.47 = 2,553.46 : x
  2. Step 2: Convert to fraction form
    4,322.77/5,964.47 = 2,553.46/x
  3. Step 3: Cross multiply
    4,322.77x = 5,964.47 × 2,553.46
  4. Step 4: Simplify right side
    4,322.77x = 15,230,017.46
  5. Step 5: Solve for x
    x = 15,230,017.46/4,322.77
  6. Step 6: Final answer
    x = 3,523.21

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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.