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Finding the Fourth Proportional to 5,198.72, 7,798.35 and 2,600.78

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Solution

The fourth proportional to 5,198.72, 7,798.35 and 2,600.78 is: 3,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.72 : 7,798.35 = 2,600.78 : x
  2. Step 2: Convert to fraction form
    5,198.72/7,798.35 = 2,600.78/x
  3. Step 3: Cross multiply
    5,198.72x = 7,798.35 × 2,600.78
  4. Step 4: Simplify right side
    5,198.72x = 20,281,792.71
  5. Step 5: Solve for x
    x = 20,281,792.71/5,198.72
  6. Step 6: Final answer
    x = 3,901.31

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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.