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Finding the Fourth Proportional to 3,744.75, 5,617.10 and 971.42

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Solution

The fourth proportional to 3,744.75, 5,617.10 and 971.42 is: 1,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.75 : 5,617.10 = 971.42 : x
  2. Step 2: Convert to fraction form
    3,744.75/5,617.10 = 971.42/x
  3. Step 3: Cross multiply
    3,744.75x = 5,617.10 × 971.42
  4. Step 4: Simplify right side
    3,744.75x = 5,456,530.34
  5. Step 5: Solve for x
    x = 5,456,530.34/3,744.75
  6. Step 6: Final answer
    x = 1,457.11

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Why These Related Problems?

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