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Finding the Fourth Proportional to 5,437.50, 8,156.85 and 1,738.86

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Solution

The fourth proportional to 5,437.50, 8,156.85 and 1,738.86 is: 2,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.50 : 8,156.85 = 1,738.86 : x
  2. Step 2: Convert to fraction form
    5,437.50/8,156.85 = 1,738.86/x
  3. Step 3: Cross multiply
    5,437.50x = 8,156.85 × 1,738.86
  4. Step 4: Simplify right side
    5,437.50x = 14,183,620.19
  5. Step 5: Solve for x
    x = 14,183,620.19/5,437.50
  6. Step 6: Final answer
    x = 2,608.48

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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.