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Finding the Fourth Proportional to 5,811.49, 8,019.92 and 3,158.90

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Solution

The fourth proportional to 5,811.49, 8,019.92 and 3,158.90 is: 4,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.49 : 8,019.92 = 3,158.90 : x
  2. Step 2: Convert to fraction form
    5,811.49/8,019.92 = 3,158.90/x
  3. Step 3: Cross multiply
    5,811.49x = 8,019.92 × 3,158.90
  4. Step 4: Simplify right side
    5,811.49x = 25,334,133.19
  5. Step 5: Solve for x
    x = 25,334,133.19/5,811.49
  6. Step 6: Final answer
    x = 4,359.32

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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.