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Finding the Fourth Proportional to 5,811.06, 8,019.24 and 3,158.48

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Solution

The fourth proportional to 5,811.06, 8,019.24 and 3,158.48 is: 4,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.06 : 8,019.24 = 3,158.48 : x
  2. Step 2: Convert to fraction form
    5,811.06/8,019.24 = 3,158.48/x
  3. Step 3: Cross multiply
    5,811.06x = 8,019.24 × 3,158.48
  4. Step 4: Simplify right side
    5,811.06x = 25,328,569.06
  5. Step 5: Solve for x
    x = 25,328,569.06/5,811.06
  6. Step 6: Final answer
    x = 4,358.68

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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.