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Finding the Fourth Proportional to 6,898.98, 10,349.19 and 2,282.34

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Solution

The fourth proportional to 6,898.98, 10,349.19 and 2,282.34 is: 3,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.98 : 10,349.19 = 2,282.34 : x
  2. Step 2: Convert to fraction form
    6,898.98/10,349.19 = 2,282.34/x
  3. Step 3: Cross multiply
    6,898.98x = 10,349.19 × 2,282.34
  4. Step 4: Simplify right side
    6,898.98x = 23,620,370.30
  5. Step 5: Solve for x
    x = 23,620,370.30/6,898.98
  6. Step 6: Final answer
    x = 3,423.75

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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.