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Finding the Fourth Proportional to 6,038.50, 9,058.56 and 2,576.56

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Solution

The fourth proportional to 6,038.50, 9,058.56 and 2,576.56 is: 3,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.50 : 9,058.56 = 2,576.56 : x
  2. Step 2: Convert to fraction form
    6,038.50/9,058.56 = 2,576.56/x
  3. Step 3: Cross multiply
    6,038.50x = 9,058.56 × 2,576.56
  4. Step 4: Simplify right side
    6,038.50x = 23,339,923.35
  5. Step 5: Solve for x
    x = 23,339,923.35/6,038.50
  6. Step 6: Final answer
    x = 3,865.19

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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.