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Finding the Fourth Proportional to 5,176.71, 7,768.41 and 2,404.69

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Solution

The fourth proportional to 5,176.71, 7,768.41 and 2,404.69 is: 3,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.71 : 7,768.41 = 2,404.69 : x
  2. Step 2: Convert to fraction form
    5,176.71/7,768.41 = 2,404.69/x
  3. Step 3: Cross multiply
    5,176.71x = 7,768.41 × 2,404.69
  4. Step 4: Simplify right side
    5,176.71x = 18,680,589.40
  5. Step 5: Solve for x
    x = 18,680,589.40/5,176.71
  6. Step 6: Final answer
    x = 3,608.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.