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Finding the Fourth Proportional to 5,527.74, 7,634.43 and 3,756.27

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Solution

The fourth proportional to 5,527.74, 7,634.43 and 3,756.27 is: 5,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.74 : 7,634.43 = 3,756.27 : x
  2. Step 2: Convert to fraction form
    5,527.74/7,634.43 = 3,756.27/x
  3. Step 3: Cross multiply
    5,527.74x = 7,634.43 × 3,756.27
  4. Step 4: Simplify right side
    5,527.74x = 28,676,980.38
  5. Step 5: Solve for x
    x = 28,676,980.38/5,527.74
  6. Step 6: Final answer
    x = 5,187.83

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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.