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Finding the Fourth Proportional to 5,602.64, 7,728.44 and 3,363.21

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Solution

The fourth proportional to 5,602.64, 7,728.44 and 3,363.21 is: 4,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.64 : 7,728.44 = 3,363.21 : x
  2. Step 2: Convert to fraction form
    5,602.64/7,728.44 = 3,363.21/x
  3. Step 3: Cross multiply
    5,602.64x = 7,728.44 × 3,363.21
  4. Step 4: Simplify right side
    5,602.64x = 25,992,349.88
  5. Step 5: Solve for x
    x = 25,992,349.88/5,602.64
  6. Step 6: Final answer
    x = 4,639.31

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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.