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Finding the Fourth Proportional to 5,896.32, 8,827.20 and 3,292.80

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Solution

The fourth proportional to 5,896.32, 8,827.20 and 3,292.80 is: 4,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.32 : 8,827.20 = 3,292.80 : x
  2. Step 2: Convert to fraction form
    5,896.32/8,827.20 = 3,292.80/x
  3. Step 3: Cross multiply
    5,896.32x = 8,827.20 × 3,292.80
  4. Step 4: Simplify right side
    5,896.32x = 29,066,204.16
  5. Step 5: Solve for x
    x = 29,066,204.16/5,896.32
  6. Step 6: Final answer
    x = 4,929.55

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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.