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Finding the Fourth Proportional to 5,323.16, 7,965.30 and 3,132.92

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Solution

The fourth proportional to 5,323.16, 7,965.30 and 3,132.92 is: 4,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.16 : 7,965.30 = 3,132.92 : x
  2. Step 2: Convert to fraction form
    5,323.16/7,965.30 = 3,132.92/x
  3. Step 3: Cross multiply
    5,323.16x = 7,965.30 × 3,132.92
  4. Step 4: Simplify right side
    5,323.16x = 24,954,647.68
  5. Step 5: Solve for x
    x = 24,954,647.68/5,323.16
  6. Step 6: Final answer
    x = 4,687.94

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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.