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Finding the Fourth Proportional to 4,981.44, 7,462.32 and 2,896.20

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Solution

The fourth proportional to 4,981.44, 7,462.32 and 2,896.20 is: 4,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.44 : 7,462.32 = 2,896.20 : x
  2. Step 2: Convert to fraction form
    4,981.44/7,462.32 = 2,896.20/x
  3. Step 3: Cross multiply
    4,981.44x = 7,462.32 × 2,896.20
  4. Step 4: Simplify right side
    4,981.44x = 21,612,371.18
  5. Step 5: Solve for x
    x = 21,612,371.18/4,981.44
  6. Step 6: Final answer
    x = 4,338.58

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1.5x scale

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.