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Finding the Fourth Proportional to 5,200.78, 7,797.78 and 2,078.86

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Solution

The fourth proportional to 5,200.78, 7,797.78 and 2,078.86 is: 3,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.78 : 7,797.78 = 2,078.86 : x
  2. Step 2: Convert to fraction form
    5,200.78/7,797.78 = 2,078.86/x
  3. Step 3: Cross multiply
    5,200.78x = 7,797.78 × 2,078.86
  4. Step 4: Simplify right side
    5,200.78x = 16,210,492.93
  5. Step 5: Solve for x
    x = 16,210,492.93/5,200.78
  6. Step 6: Final answer
    x = 3,116.93

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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.