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Finding the Fourth Proportional to 4,157.82, 6,233.82 and 1,558.50

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Solution

The fourth proportional to 4,157.82, 6,233.82 and 1,558.50 is: 2,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.82 : 6,233.82 = 1,558.50 : x
  2. Step 2: Convert to fraction form
    4,157.82/6,233.82 = 1,558.50/x
  3. Step 3: Cross multiply
    4,157.82x = 6,233.82 × 1,558.50
  4. Step 4: Simplify right side
    4,157.82x = 9,715,408.47
  5. Step 5: Solve for x
    x = 9,715,408.47/4,157.82
  6. Step 6: Final answer
    x = 2,336.66

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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.