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Finding the Fourth Proportional to 5,724.82, 8,575.68 and 4,797.78

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Solution

The fourth proportional to 5,724.82, 8,575.68 and 4,797.78 is: 7,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.82 : 8,575.68 = 4,797.78 : x
  2. Step 2: Convert to fraction form
    5,724.82/8,575.68 = 4,797.78/x
  3. Step 3: Cross multiply
    5,724.82x = 8,575.68 × 4,797.78
  4. Step 4: Simplify right side
    5,724.82x = 41,144,225.99
  5. Step 5: Solve for x
    x = 41,144,225.99/5,724.82
  6. Step 6: Final answer
    x = 7,186.99

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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.