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Finding the Fourth Proportional to 4,061.49, 6,097.37 and 3,137.69

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Solution

The fourth proportional to 4,061.49, 6,097.37 and 3,137.69 is: 4,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.49 : 6,097.37 = 3,137.69 : x
  2. Step 2: Convert to fraction form
    4,061.49/6,097.37 = 3,137.69/x
  3. Step 3: Cross multiply
    4,061.49x = 6,097.37 × 3,137.69
  4. Step 4: Simplify right side
    4,061.49x = 19,131,610.70
  5. Step 5: Solve for x
    x = 19,131,610.70/4,061.49
  6. Step 6: Final answer
    x = 4,710.49

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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.