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Finding the Fourth Proportional to 5,204.78, 7,758.97 and 5,124.86

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Solution

The fourth proportional to 5,204.78, 7,758.97 and 5,124.86 is: 7,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.78 : 7,758.97 = 5,124.86 : x
  2. Step 2: Convert to fraction form
    5,204.78/7,758.97 = 5,124.86/x
  3. Step 3: Cross multiply
    5,204.78x = 7,758.97 × 5,124.86
  4. Step 4: Simplify right side
    5,204.78x = 39,763,634.99
  5. Step 5: Solve for x
    x = 39,763,634.99/5,204.78
  6. Step 6: Final answer
    x = 7,639.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.