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Finding the Fourth Proportional to 5,663.42, 7,816.38 and 3,240.74

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Solution

The fourth proportional to 5,663.42, 7,816.38 and 3,240.74 is: 4,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.42 : 7,816.38 = 3,240.74 : x
  2. Step 2: Convert to fraction form
    5,663.42/7,816.38 = 3,240.74/x
  3. Step 3: Cross multiply
    5,663.42x = 7,816.38 × 3,240.74
  4. Step 4: Simplify right side
    5,663.42x = 25,330,855.32
  5. Step 5: Solve for x
    x = 25,330,855.32/5,663.42
  6. Step 6: Final answer
    x = 4,472.71

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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.