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Finding the Fourth Proportional to 4,660.92, 6,976.90 and 3,483.98

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Solution

The fourth proportional to 4,660.92, 6,976.90 and 3,483.98 is: 5,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.92 : 6,976.90 = 3,483.98 : x
  2. Step 2: Convert to fraction form
    4,660.92/6,976.90 = 3,483.98/x
  3. Step 3: Cross multiply
    4,660.92x = 6,976.90 × 3,483.98
  4. Step 4: Simplify right side
    4,660.92x = 24,307,380.06
  5. Step 5: Solve for x
    x = 24,307,380.06/4,660.92
  6. Step 6: Final answer
    x = 5,215.15

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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.