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Finding the Fourth Proportional to 4,649.14, 6,974.43 and 1,528.44

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Solution

The fourth proportional to 4,649.14, 6,974.43 and 1,528.44 is: 2,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.14 : 6,974.43 = 1,528.44 : x
  2. Step 2: Convert to fraction form
    4,649.14/6,974.43 = 1,528.44/x
  3. Step 3: Cross multiply
    4,649.14x = 6,974.43 × 1,528.44
  4. Step 4: Simplify right side
    4,649.14x = 10,660,003.52
  5. Step 5: Solve for x
    x = 10,660,003.52/4,649.14
  6. Step 6: Final answer
    x = 2,292.90

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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.