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Finding the Fourth Proportional to 5,882.88, 8,825.04 and 5,096.64

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Solution

The fourth proportional to 5,882.88, 8,825.04 and 5,096.64 is: 7,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.88 : 8,825.04 = 5,096.64 : x
  2. Step 2: Convert to fraction form
    5,882.88/8,825.04 = 5,096.64/x
  3. Step 3: Cross multiply
    5,882.88x = 8,825.04 × 5,096.64
  4. Step 4: Simplify right side
    5,882.88x = 44,978,051.87
  5. Step 5: Solve for x
    x = 44,978,051.87/5,882.88
  6. Step 6: Final answer
    x = 7,645.58

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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.