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Finding the Fourth Proportional to 5,896.32, 8,846.46 and 2,972.22

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Solution

The fourth proportional to 5,896.32, 8,846.46 and 2,972.22 is: 4,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.32 : 8,846.46 = 2,972.22 : x
  2. Step 2: Convert to fraction form
    5,896.32/8,846.46 = 2,972.22/x
  3. Step 3: Cross multiply
    5,896.32x = 8,846.46 × 2,972.22
  4. Step 4: Simplify right side
    5,896.32x = 26,293,625.34
  5. Step 5: Solve for x
    x = 26,293,625.34/5,896.32
  6. Step 6: Final answer
    x = 4,459.33

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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.