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Finding the Fourth Proportional to 5,640.40, 8,444.40 and 5,057.20

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Solution

The fourth proportional to 5,640.40, 8,444.40 and 5,057.20 is: 7,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.40 : 8,444.40 = 5,057.20 : x
  2. Step 2: Convert to fraction form
    5,640.40/8,444.40 = 5,057.20/x
  3. Step 3: Cross multiply
    5,640.40x = 8,444.40 × 5,057.20
  4. Step 4: Simplify right side
    5,640.40x = 42,705,019.68
  5. Step 5: Solve for x
    x = 42,705,019.68/5,640.40
  6. Step 6: Final answer
    x = 7,571.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.