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Finding the Fourth Proportional to 3,735.71, 5,154.80 and 2,243.89

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Solution

The fourth proportional to 3,735.71, 5,154.80 and 2,243.89 is: 3,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.71 : 5,154.80 = 2,243.89 : x
  2. Step 2: Convert to fraction form
    3,735.71/5,154.80 = 2,243.89/x
  3. Step 3: Cross multiply
    3,735.71x = 5,154.80 × 2,243.89
  4. Step 4: Simplify right side
    3,735.71x = 11,566,780.07
  5. Step 5: Solve for x
    x = 11,566,780.07/3,735.71
  6. Step 6: Final answer
    x = 3,096.28

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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.