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Finding the Fourth Proportional to 5,665.74, 7,816.76 and 3,539.82

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Solution

The fourth proportional to 5,665.74, 7,816.76 and 3,539.82 is: 4,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.74 : 7,816.76 = 3,539.82 : x
  2. Step 2: Convert to fraction form
    5,665.74/7,816.76 = 3,539.82/x
  3. Step 3: Cross multiply
    5,665.74x = 7,816.76 × 3,539.82
  4. Step 4: Simplify right side
    5,665.74x = 27,669,923.38
  5. Step 5: Solve for x
    x = 27,669,923.38/5,665.74
  6. Step 6: Final answer
    x = 4,883.73

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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.