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Finding the Fourth Proportional to 5,775.42, 8,657.67 and 2,811.99

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Solution

The fourth proportional to 5,775.42, 8,657.67 and 2,811.99 is: 4,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.42 : 8,657.67 = 2,811.99 : x
  2. Step 2: Convert to fraction form
    5,775.42/8,657.67 = 2,811.99/x
  3. Step 3: Cross multiply
    5,775.42x = 8,657.67 × 2,811.99
  4. Step 4: Simplify right side
    5,775.42x = 24,345,281.46
  5. Step 5: Solve for x
    x = 24,345,281.46/5,775.42
  6. Step 6: Final answer
    x = 4,215.33

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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.