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Finding the Fourth Proportional to 5,714.67, 7,883.94 and 3,724.50

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Solution

The fourth proportional to 5,714.67, 7,883.94 and 3,724.50 is: 5,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.67 : 7,883.94 = 3,724.50 : x
  2. Step 2: Convert to fraction form
    5,714.67/7,883.94 = 3,724.50/x
  3. Step 3: Cross multiply
    5,714.67x = 7,883.94 × 3,724.50
  4. Step 4: Simplify right side
    5,714.67x = 29,363,734.53
  5. Step 5: Solve for x
    x = 29,363,734.53/5,714.67
  6. Step 6: Final answer
    x = 5,138.31

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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.