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Finding the Fourth Proportional to 3,707.70, 5,539.77 and 3,578.49

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Solution

The fourth proportional to 3,707.70, 5,539.77 and 3,578.49 is: 5,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.70 : 5,539.77 = 3,578.49 : x
  2. Step 2: Convert to fraction form
    3,707.70/5,539.77 = 3,578.49/x
  3. Step 3: Cross multiply
    3,707.70x = 5,539.77 × 3,578.49
  4. Step 4: Simplify right side
    3,707.70x = 19,824,011.55
  5. Step 5: Solve for x
    x = 19,824,011.55/3,707.70
  6. Step 6: Final answer
    x = 5,346.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.