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Finding the Fourth Proportional to 5,797.32, 7,999.57 and 3,439

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Solution

The fourth proportional to 5,797.32, 7,999.57 and 3,439 is: 4,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.32 : 7,999.57 = 3,439 : x
  2. Step 2: Convert to fraction form
    5,797.32/7,999.57 = 3,439/x
  3. Step 3: Cross multiply
    5,797.32x = 7,999.57 × 3,439
  4. Step 4: Simplify right side
    5,797.32x = 27,510,504.04
  5. Step 5: Solve for x
    x = 27,510,504.04/5,797.32
  6. Step 6: Final answer
    x = 4,745.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.