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Finding the Fourth Proportional to 5,666.86, 8,505.86 and 3,720.43

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Solution

The fourth proportional to 5,666.86, 8,505.86 and 3,720.43 is: 5,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.86 : 8,505.86 = 3,720.43 : x
  2. Step 2: Convert to fraction form
    5,666.86/8,505.86 = 3,720.43/x
  3. Step 3: Cross multiply
    5,666.86x = 8,505.86 × 3,720.43
  4. Step 4: Simplify right side
    5,666.86x = 31,645,456.72
  5. Step 5: Solve for x
    x = 31,645,456.72/5,666.86
  6. Step 6: Final answer
    x = 5,584.30

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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.