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Finding the Fourth Proportional to 5,674.70, 7,832.38 and 3,318.20

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Solution

The fourth proportional to 5,674.70, 7,832.38 and 3,318.20 is: 4,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.70 : 7,832.38 = 3,318.20 : x
  2. Step 2: Convert to fraction form
    5,674.70/7,832.38 = 3,318.20/x
  3. Step 3: Cross multiply
    5,674.70x = 7,832.38 × 3,318.20
  4. Step 4: Simplify right side
    5,674.70x = 25,989,403.32
  5. Step 5: Solve for x
    x = 25,989,403.32/5,674.70
  6. Step 6: Final answer
    x = 4,579.87

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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.