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Finding the Fourth Proportional to 4,137.69, 5,710.13 and 2,369.87

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Solution

The fourth proportional to 4,137.69, 5,710.13 and 2,369.87 is: 3,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.69 : 5,710.13 = 2,369.87 : x
  2. Step 2: Convert to fraction form
    4,137.69/5,710.13 = 2,369.87/x
  3. Step 3: Cross multiply
    4,137.69x = 5,710.13 × 2,369.87
  4. Step 4: Simplify right side
    4,137.69x = 13,532,265.78
  5. Step 5: Solve for x
    x = 13,532,265.78/4,137.69
  6. Step 6: Final answer
    x = 3,270.49

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1.5x scale

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.