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Finding the Fourth Proportional to 4,157.72, 6,238.26 and 1,560.86

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Solution

The fourth proportional to 4,157.72, 6,238.26 and 1,560.86 is: 2,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.72 : 6,238.26 = 1,560.86 : x
  2. Step 2: Convert to fraction form
    4,157.72/6,238.26 = 1,560.86/x
  3. Step 3: Cross multiply
    4,157.72x = 6,238.26 × 1,560.86
  4. Step 4: Simplify right side
    4,157.72x = 9,737,050.50
  5. Step 5: Solve for x
    x = 9,737,050.50/4,157.72
  6. Step 6: Final answer
    x = 2,341.92

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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.