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Finding the Fourth Proportional to 5,976.95, 8,244.83 and 3,586.31

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Solution

The fourth proportional to 5,976.95, 8,244.83 and 3,586.31 is: 4,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.95 : 8,244.83 = 3,586.31 : x
  2. Step 2: Convert to fraction form
    5,976.95/8,244.83 = 3,586.31/x
  3. Step 3: Cross multiply
    5,976.95x = 8,244.83 × 3,586.31
  4. Step 4: Simplify right side
    5,976.95x = 29,568,457.12
  5. Step 5: Solve for x
    x = 29,568,457.12/5,976.95
  6. Step 6: Final answer
    x = 4,947.08

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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.