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Finding the Fourth Proportional to 5,609.66, 8,414.41 and 1,914.46

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Solution

The fourth proportional to 5,609.66, 8,414.41 and 1,914.46 is: 2,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.66 : 8,414.41 = 1,914.46 : x
  2. Step 2: Convert to fraction form
    5,609.66/8,414.41 = 1,914.46/x
  3. Step 3: Cross multiply
    5,609.66x = 8,414.41 × 1,914.46
  4. Step 4: Simplify right side
    5,609.66x = 16,109,047.42
  5. Step 5: Solve for x
    x = 16,109,047.42/5,609.66
  6. Step 6: Final answer
    x = 2,871.66

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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.