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Finding the Fourth Proportional to 3,735.66, 5,154.46 and 2,243.64

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Solution

The fourth proportional to 3,735.66, 5,154.46 and 2,243.64 is: 3,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.66 : 5,154.46 = 2,243.64 : x
  2. Step 2: Convert to fraction form
    3,735.66/5,154.46 = 2,243.64/x
  3. Step 3: Cross multiply
    3,735.66x = 5,154.46 × 2,243.64
  4. Step 4: Simplify right side
    3,735.66x = 11,564,747.03
  5. Step 5: Solve for x
    x = 11,564,747.03/3,735.66
  6. Step 6: Final answer
    x = 3,095.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.