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Finding the Fourth Proportional to 3,162.07, 4,744.02 and 971.12

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Solution

The fourth proportional to 3,162.07, 4,744.02 and 971.12 is: 1,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.07 : 4,744.02 = 971.12 : x
  2. Step 2: Convert to fraction form
    3,162.07/4,744.02 = 971.12/x
  3. Step 3: Cross multiply
    3,162.07x = 4,744.02 × 971.12
  4. Step 4: Simplify right side
    3,162.07x = 4,607,028.20
  5. Step 5: Solve for x
    x = 4,607,028.20/3,162.07
  6. Step 6: Final answer
    x = 1,456.97

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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.