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Finding the Fourth Proportional to 5,709.64, 8,552.34 and 3,728.26

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Solution

The fourth proportional to 5,709.64, 8,552.34 and 3,728.26 is: 5,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.64 : 8,552.34 = 3,728.26 : x
  2. Step 2: Convert to fraction form
    5,709.64/8,552.34 = 3,728.26/x
  3. Step 3: Cross multiply
    5,709.64x = 8,552.34 × 3,728.26
  4. Step 4: Simplify right side
    5,709.64x = 31,885,347.13
  5. Step 5: Solve for x
    x = 31,885,347.13/5,709.64
  6. Step 6: Final answer
    x = 5,584.48

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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.