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Finding the Fourth Proportional to 4,322.05, 5,964.54 and 2,643.42

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Solution

The fourth proportional to 4,322.05, 5,964.54 and 2,643.42 is: 3,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.05 : 5,964.54 = 2,643.42 : x
  2. Step 2: Convert to fraction form
    4,322.05/5,964.54 = 2,643.42/x
  3. Step 3: Cross multiply
    4,322.05x = 5,964.54 × 2,643.42
  4. Step 4: Simplify right side
    4,322.05x = 15,766,816.61
  5. Step 5: Solve for x
    x = 15,766,816.61/4,322.05
  6. Step 6: Final answer
    x = 3,648.00

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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.