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Finding the Fourth Proportional to 3,744.72, 5,617.20 and 971.48

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Solution

The fourth proportional to 3,744.72, 5,617.20 and 971.48 is: 1,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.72 : 5,617.20 = 971.48 : x
  2. Step 2: Convert to fraction form
    3,744.72/5,617.20 = 971.48/x
  3. Step 3: Cross multiply
    3,744.72x = 5,617.20 × 971.48
  4. Step 4: Simplify right side
    3,744.72x = 5,456,997.46
  5. Step 5: Solve for x
    x = 5,456,997.46/3,744.72
  6. Step 6: Final answer
    x = 1,457.25

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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.