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Finding the Fourth Proportional to 5,965.79, 8,232.10 and 3,312.77

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Solution

The fourth proportional to 5,965.79, 8,232.10 and 3,312.77 is: 4,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.79 : 8,232.10 = 3,312.77 : x
  2. Step 2: Convert to fraction form
    5,965.79/8,232.10 = 3,312.77/x
  3. Step 3: Cross multiply
    5,965.79x = 8,232.10 × 3,312.77
  4. Step 4: Simplify right side
    5,965.79x = 27,271,004.47
  5. Step 5: Solve for x
    x = 27,271,004.47/5,965.79
  6. Step 6: Final answer
    x = 4,571.23

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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.