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Finding the Fourth Proportional to 5,142.62, 7,703.64 and 2,365.48

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Solution

The fourth proportional to 5,142.62, 7,703.64 and 2,365.48 is: 3,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.62 : 7,703.64 = 2,365.48 : x
  2. Step 2: Convert to fraction form
    5,142.62/7,703.64 = 2,365.48/x
  3. Step 3: Cross multiply
    5,142.62x = 7,703.64 × 2,365.48
  4. Step 4: Simplify right side
    5,142.62x = 18,222,824.85
  5. Step 5: Solve for x
    x = 18,222,824.85/5,142.62
  6. Step 6: Final answer
    x = 3,543.49

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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.