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Finding the Fourth Proportional to 3,707.86, 5,570.07 and 3,166.60

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Solution

The fourth proportional to 3,707.86, 5,570.07 and 3,166.60 is: 4,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.86 : 5,570.07 = 3,166.60 : x
  2. Step 2: Convert to fraction form
    3,707.86/5,570.07 = 3,166.60/x
  3. Step 3: Cross multiply
    3,707.86x = 5,570.07 × 3,166.60
  4. Step 4: Simplify right side
    3,707.86x = 17,638,183.66
  5. Step 5: Solve for x
    x = 17,638,183.66/3,707.86
  6. Step 6: Final answer
    x = 4,756.97

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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.