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Finding the Fourth Proportional to 3,976.58, 5,953.02 and 2,411.87

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Solution

The fourth proportional to 3,976.58, 5,953.02 and 2,411.87 is: 3,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.58 : 5,953.02 = 2,411.87 : x
  2. Step 2: Convert to fraction form
    3,976.58/5,953.02 = 2,411.87/x
  3. Step 3: Cross multiply
    3,976.58x = 5,953.02 × 2,411.87
  4. Step 4: Simplify right side
    3,976.58x = 14,357,910.35
  5. Step 5: Solve for x
    x = 14,357,910.35/3,976.58
  6. Step 6: Final answer
    x = 3,610.62

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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.