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Finding the Fourth Proportional to 5,914.66, 8,871.64 and 2,216.58

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Solution

The fourth proportional to 5,914.66, 8,871.64 and 2,216.58 is: 3,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.66 : 8,871.64 = 2,216.58 : x
  2. Step 2: Convert to fraction form
    5,914.66/8,871.64 = 2,216.58/x
  3. Step 3: Cross multiply
    5,914.66x = 8,871.64 × 2,216.58
  4. Step 4: Simplify right side
    5,914.66x = 19,664,676.57
  5. Step 5: Solve for x
    x = 19,664,676.57/5,914.66
  6. Step 6: Final answer
    x = 3,324.74

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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.