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Finding the Fourth Proportional to 3,666.66, 5,500.56 and 2,106.42

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Solution

The fourth proportional to 3,666.66, 5,500.56 and 2,106.42 is: 3,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.66 : 5,500.56 = 2,106.42 : x
  2. Step 2: Convert to fraction form
    3,666.66/5,500.56 = 2,106.42/x
  3. Step 3: Cross multiply
    3,666.66x = 5,500.56 × 2,106.42
  4. Step 4: Simplify right side
    3,666.66x = 11,586,489.60
  5. Step 5: Solve for x
    x = 11,586,489.60/3,666.66
  6. Step 6: Final answer
    x = 3,159.96

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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.