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Finding the Fourth Proportional to 5,527.49, 7,617.78 and 5,176.77

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Solution

The fourth proportional to 5,527.49, 7,617.78 and 5,176.77 is: 7,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.49 : 7,617.78 = 5,176.77 : x
  2. Step 2: Convert to fraction form
    5,527.49/7,617.78 = 5,176.77/x
  3. Step 3: Cross multiply
    5,527.49x = 7,617.78 × 5,176.77
  4. Step 4: Simplify right side
    5,527.49x = 39,435,494.97
  5. Step 5: Solve for x
    x = 39,435,494.97/5,527.49
  6. Step 6: Final answer
    x = 7,134.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.