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Finding the Fourth Proportional to 3,728.22, 5,565.20 and 3,457.98

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Solution

The fourth proportional to 3,728.22, 5,565.20 and 3,457.98 is: 5,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.22 : 5,565.20 = 3,457.98 : x
  2. Step 2: Convert to fraction form
    3,728.22/5,565.20 = 3,457.98/x
  3. Step 3: Cross multiply
    3,728.22x = 5,565.20 × 3,457.98
  4. Step 4: Simplify right side
    3,728.22x = 19,244,333.01
  5. Step 5: Solve for x
    x = 19,244,333.01/3,728.22
  6. Step 6: Final answer
    x = 5,161.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.