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Finding the Fourth Proportional to 6,038.70, 9,057.09 and 3,697.89

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Solution

The fourth proportional to 6,038.70, 9,057.09 and 3,697.89 is: 5,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.70 : 9,057.09 = 3,697.89 : x
  2. Step 2: Convert to fraction form
    6,038.70/9,057.09 = 3,697.89/x
  3. Step 3: Cross multiply
    6,038.70x = 9,057.09 × 3,697.89
  4. Step 4: Simplify right side
    6,038.70x = 33,492,122.54
  5. Step 5: Solve for x
    x = 33,492,122.54/6,038.70
  6. Step 6: Final answer
    x = 5,546.25

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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.