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Finding the Fourth Proportional to 5,813.06, 8,022 and 3,160.48

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Solution

The fourth proportional to 5,813.06, 8,022 and 3,160.48 is: 4,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.06 : 8,022 = 3,160.48 : x
  2. Step 2: Convert to fraction form
    5,813.06/8,022 = 3,160.48/x
  3. Step 3: Cross multiply
    5,813.06x = 8,022 × 3,160.48
  4. Step 4: Simplify right side
    5,813.06x = 25,353,370.56
  5. Step 5: Solve for x
    x = 25,353,370.56/5,813.06
  6. Step 6: Final answer
    x = 4,361.45

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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.