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Finding the Fourth Proportional to 3,265.47, 4,898.94 and 1,074.42

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Solution

The fourth proportional to 3,265.47, 4,898.94 and 1,074.42 is: 1,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.47 : 4,898.94 = 1,074.42 : x
  2. Step 2: Convert to fraction form
    3,265.47/4,898.94 = 1,074.42/x
  3. Step 3: Cross multiply
    3,265.47x = 4,898.94 × 1,074.42
  4. Step 4: Simplify right side
    3,265.47x = 5,263,519.11
  5. Step 5: Solve for x
    x = 5,263,519.11/3,265.47
  6. Step 6: Final answer
    x = 1,611.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.