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Finding the Fourth Proportional to 6,038.46, 8,331.39 and 4,049.10

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Solution

The fourth proportional to 6,038.46, 8,331.39 and 4,049.10 is: 5,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.46 : 8,331.39 = 4,049.10 : x
  2. Step 2: Convert to fraction form
    6,038.46/8,331.39 = 4,049.10/x
  3. Step 3: Cross multiply
    6,038.46x = 8,331.39 × 4,049.10
  4. Step 4: Simplify right side
    6,038.46x = 33,734,631.25
  5. Step 5: Solve for x
    x = 33,734,631.25/6,038.46
  6. Step 6: Final answer
    x = 5,586.63

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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.