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Finding the Fourth Proportional to 3,544.67, 4,889.14 and 3,009.88

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Solution

The fourth proportional to 3,544.67, 4,889.14 and 3,009.88 is: 4,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.67 : 4,889.14 = 3,009.88 : x
  2. Step 2: Convert to fraction form
    3,544.67/4,889.14 = 3,009.88/x
  3. Step 3: Cross multiply
    3,544.67x = 4,889.14 × 3,009.88
  4. Step 4: Simplify right side
    3,544.67x = 14,715,704.96
  5. Step 5: Solve for x
    x = 14,715,704.96/3,544.67
  6. Step 6: Final answer
    x = 4,151.51

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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.