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Finding the Fourth Proportional to 5,965.28, 8,232.10 and 3,312.69

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Solution

The fourth proportional to 5,965.28, 8,232.10 and 3,312.69 is: 4,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.28 : 8,232.10 = 3,312.69 : x
  2. Step 2: Convert to fraction form
    5,965.28/8,232.10 = 3,312.69/x
  3. Step 3: Cross multiply
    5,965.28x = 8,232.10 × 3,312.69
  4. Step 4: Simplify right side
    5,965.28x = 27,270,395.35
  5. Step 5: Solve for x
    x = 27,270,395.35/5,965.28
  6. Step 6: Final answer
    x = 4,571.52

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Double scale
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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.