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Finding the Fourth Proportional to 5,527.14, 7,614.81 and 3,824.01

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Solution

The fourth proportional to 5,527.14, 7,614.81 and 3,824.01 is: 5,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.14 : 7,614.81 = 3,824.01 : x
  2. Step 2: Convert to fraction form
    5,527.14/7,614.81 = 3,824.01/x
  3. Step 3: Cross multiply
    5,527.14x = 7,614.81 × 3,824.01
  4. Step 4: Simplify right side
    5,527.14x = 29,119,109.59
  5. Step 5: Solve for x
    x = 29,119,109.59/5,527.14
  6. Step 6: Final answer
    x = 5,268.39

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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.