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Finding the Fourth Proportional to 6,898.39, 10,338.19 and 3,604.66

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Solution

The fourth proportional to 6,898.39, 10,338.19 and 3,604.66 is: 5,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.39 : 10,338.19 = 3,604.66 : x
  2. Step 2: Convert to fraction form
    6,898.39/10,338.19 = 3,604.66/x
  3. Step 3: Cross multiply
    6,898.39x = 10,338.19 × 3,604.66
  4. Step 4: Simplify right side
    6,898.39x = 37,265,625.11
  5. Step 5: Solve for x
    x = 37,265,625.11/6,898.39
  6. Step 6: Final answer
    x = 5,402.08

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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.