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Finding the Fourth Proportional to 5,684.72, 8,524.84 and 2,762.16

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Solution

The fourth proportional to 5,684.72, 8,524.84 and 2,762.16 is: 4,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.72 : 8,524.84 = 2,762.16 : x
  2. Step 2: Convert to fraction form
    5,684.72/8,524.84 = 2,762.16/x
  3. Step 3: Cross multiply
    5,684.72x = 8,524.84 × 2,762.16
  4. Step 4: Simplify right side
    5,684.72x = 23,546,972.05
  5. Step 5: Solve for x
    x = 23,546,972.05/5,684.72
  6. Step 6: Final answer
    x = 4,142.15

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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.