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Finding the Fourth Proportional to 5,705.80, 7,870.36 and 3,691.84

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Solution

The fourth proportional to 5,705.80, 7,870.36 and 3,691.84 is: 5,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.80 : 7,870.36 = 3,691.84 : x
  2. Step 2: Convert to fraction form
    5,705.80/7,870.36 = 3,691.84/x
  3. Step 3: Cross multiply
    5,705.80x = 7,870.36 × 3,691.84
  4. Step 4: Simplify right side
    5,705.80x = 29,056,109.86
  5. Step 5: Solve for x
    x = 29,056,109.86/5,705.80
  6. Step 6: Final answer
    x = 5,092.38

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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.