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Finding the Fourth Proportional to 4,664.92, 6,982.88 and 3,488

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Solution

The fourth proportional to 4,664.92, 6,982.88 and 3,488 is: 5,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.92 : 6,982.88 = 3,488 : x
  2. Step 2: Convert to fraction form
    4,664.92/6,982.88 = 3,488/x
  3. Step 3: Cross multiply
    4,664.92x = 6,982.88 × 3,488
  4. Step 4: Simplify right side
    4,664.92x = 24,356,285.44
  5. Step 5: Solve for x
    x = 24,356,285.44/4,664.92
  6. Step 6: Final answer
    x = 5,221.16

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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.