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Finding the Fourth Proportional to 3,157.49, 4,716.24 and 2,456.86

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Solution

The fourth proportional to 3,157.49, 4,716.24 and 2,456.86 is: 3,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.49 : 4,716.24 = 2,456.86 : x
  2. Step 2: Convert to fraction form
    3,157.49/4,716.24 = 2,456.86/x
  3. Step 3: Cross multiply
    3,157.49x = 4,716.24 × 2,456.86
  4. Step 4: Simplify right side
    3,157.49x = 11,587,157.05
  5. Step 5: Solve for x
    x = 11,587,157.05/3,157.49
  6. Step 6: Final answer
    x = 3,669.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.