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Finding the Fourth Proportional to 3,292.92, 4,936.14 and 1,562.76

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Solution

The fourth proportional to 3,292.92, 4,936.14 and 1,562.76 is: 2,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.92 : 4,936.14 = 1,562.76 : x
  2. Step 2: Convert to fraction form
    3,292.92/4,936.14 = 1,562.76/x
  3. Step 3: Cross multiply
    3,292.92x = 4,936.14 × 1,562.76
  4. Step 4: Simplify right side
    3,292.92x = 7,714,002.15
  5. Step 5: Solve for x
    x = 7,714,002.15/3,292.92
  6. Step 6: Final answer
    x = 2,342.60

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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.