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Finding the Fourth Proportional to 6,319.84, 8,721.31 and 3,487.27

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Solution

The fourth proportional to 6,319.84, 8,721.31 and 3,487.27 is: 4,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.84 : 8,721.31 = 3,487.27 : x
  2. Step 2: Convert to fraction form
    6,319.84/8,721.31 = 3,487.27/x
  3. Step 3: Cross multiply
    6,319.84x = 8,721.31 × 3,487.27
  4. Step 4: Simplify right side
    6,319.84x = 30,413,513.40
  5. Step 5: Solve for x
    x = 30,413,513.40/6,319.84
  6. Step 6: Final answer
    x = 4,812.39

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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.