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Finding the Fourth Proportional to 6,038, 9,057.81 and 2,576.06

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Solution

The fourth proportional to 6,038, 9,057.81 and 2,576.06 is: 3,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038 : 9,057.81 = 2,576.06 : x
  2. Step 2: Convert to fraction form
    6,038/9,057.81 = 2,576.06/x
  3. Step 3: Cross multiply
    6,038x = 9,057.81 × 2,576.06
  4. Step 4: Simplify right side
    6,038x = 23,333,462.03
  5. Step 5: Solve for x
    x = 23,333,462.03/6,038
  6. Step 6: Final answer
    x = 3,864.44

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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.