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Finding the Fourth Proportional to 5,697.66, 7,866 and 3,707.22

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Solution

The fourth proportional to 5,697.66, 7,866 and 3,707.22 is: 5,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.66 : 7,866 = 3,707.22 : x
  2. Step 2: Convert to fraction form
    5,697.66/7,866 = 3,707.22/x
  3. Step 3: Cross multiply
    5,697.66x = 7,866 × 3,707.22
  4. Step 4: Simplify right side
    5,697.66x = 29,160,992.52
  5. Step 5: Solve for x
    x = 29,160,992.52/5,697.66
  6. Step 6: Final answer
    x = 5,118.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.