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Finding the Fourth Proportional to 5,600.64, 7,728.30 and 3,242.34

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Solution

The fourth proportional to 5,600.64, 7,728.30 and 3,242.34 is: 4,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.64 : 7,728.30 = 3,242.34 : x
  2. Step 2: Convert to fraction form
    5,600.64/7,728.30 = 3,242.34/x
  3. Step 3: Cross multiply
    5,600.64x = 7,728.30 × 3,242.34
  4. Step 4: Simplify right side
    5,600.64x = 25,057,776.22
  5. Step 5: Solve for x
    x = 25,057,776.22/5,600.64
  6. Step 6: Final answer
    x = 4,474.09

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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.