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Finding the Fourth Proportional to 5,614.86, 8,420.22 and 1,865.96

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Solution

The fourth proportional to 5,614.86, 8,420.22 and 1,865.96 is: 2,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.86 : 8,420.22 = 1,865.96 : x
  2. Step 2: Convert to fraction form
    5,614.86/8,420.22 = 1,865.96/x
  3. Step 3: Cross multiply
    5,614.86x = 8,420.22 × 1,865.96
  4. Step 4: Simplify right side
    5,614.86x = 15,711,793.71
  5. Step 5: Solve for x
    x = 15,711,793.71/5,614.86
  6. Step 6: Final answer
    x = 2,798.25

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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.