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Finding the Fourth Proportional to 5,564.25, 8,352.15 and 3,728.20

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Solution

The fourth proportional to 5,564.25, 8,352.15 and 3,728.20 is: 5,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.25 : 8,352.15 = 3,728.20 : x
  2. Step 2: Convert to fraction form
    5,564.25/8,352.15 = 3,728.20/x
  3. Step 3: Cross multiply
    5,564.25x = 8,352.15 × 3,728.20
  4. Step 4: Simplify right side
    5,564.25x = 31,138,467.42
  5. Step 5: Solve for x
    x = 31,138,467.42/5,564.25
  6. Step 6: Final answer
    x = 5,596.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.