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Finding the Fourth Proportional to 5,700.69, 8,544.51 and 2,575.98

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Solution

The fourth proportional to 5,700.69, 8,544.51 and 2,575.98 is: 3,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.69 : 8,544.51 = 2,575.98 : x
  2. Step 2: Convert to fraction form
    5,700.69/8,544.51 = 2,575.98/x
  3. Step 3: Cross multiply
    5,700.69x = 8,544.51 × 2,575.98
  4. Step 4: Simplify right side
    5,700.69x = 22,010,486.87
  5. Step 5: Solve for x
    x = 22,010,486.87/5,700.69
  6. Step 6: Final answer
    x = 3,861.02

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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.