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Finding the Fourth Proportional to 5,756.42, 8,632.80 and 1,859.92

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Solution

The fourth proportional to 5,756.42, 8,632.80 and 1,859.92 is: 2,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.42 : 8,632.80 = 1,859.92 : x
  2. Step 2: Convert to fraction form
    5,756.42/8,632.80 = 1,859.92/x
  3. Step 3: Cross multiply
    5,756.42x = 8,632.80 × 1,859.92
  4. Step 4: Simplify right side
    5,756.42x = 16,056,317.38
  5. Step 5: Solve for x
    x = 16,056,317.38/5,756.42
  6. Step 6: Final answer
    x = 2,789.29

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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.