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Finding the Fourth Proportional to 5,713.86, 7,881.75 and 3,473.94

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Solution

The fourth proportional to 5,713.86, 7,881.75 and 3,473.94 is: 4,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.86 : 7,881.75 = 3,473.94 : x
  2. Step 2: Convert to fraction form
    5,713.86/7,881.75 = 3,473.94/x
  3. Step 3: Cross multiply
    5,713.86x = 7,881.75 × 3,473.94
  4. Step 4: Simplify right side
    5,713.86x = 27,380,726.60
  5. Step 5: Solve for x
    x = 27,380,726.60/5,713.86
  6. Step 6: Final answer
    x = 4,791.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.