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Finding the Fourth Proportional to 5,198.34, 7,795.80 and 2,599.50

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Solution

The fourth proportional to 5,198.34, 7,795.80 and 2,599.50 is: 3,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.34 : 7,795.80 = 2,599.50 : x
  2. Step 2: Convert to fraction form
    5,198.34/7,795.80 = 2,599.50/x
  3. Step 3: Cross multiply
    5,198.34x = 7,795.80 × 2,599.50
  4. Step 4: Simplify right side
    5,198.34x = 20,265,182.10
  5. Step 5: Solve for x
    x = 20,265,182.10/5,198.34
  6. Step 6: Final answer
    x = 3,898.39

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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.