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Finding the Fourth Proportional to 5,527.02, 7,616.79 and 3,952.38

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Solution

The fourth proportional to 5,527.02, 7,616.79 and 3,952.38 is: 5,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.02 : 7,616.79 = 3,952.38 : x
  2. Step 2: Convert to fraction form
    5,527.02/7,616.79 = 3,952.38/x
  3. Step 3: Cross multiply
    5,527.02x = 7,616.79 × 3,952.38
  4. Step 4: Simplify right side
    5,527.02x = 30,104,448.46
  5. Step 5: Solve for x
    x = 30,104,448.46/5,527.02
  6. Step 6: Final answer
    x = 5,446.78

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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.