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Finding the Fourth Proportional to 4,697.75, 6,487.26 and 3,516.77

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Solution

The fourth proportional to 4,697.75, 6,487.26 and 3,516.77 is: 4,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.75 : 6,487.26 = 3,516.77 : x
  2. Step 2: Convert to fraction form
    4,697.75/6,487.26 = 3,516.77/x
  3. Step 3: Cross multiply
    4,697.75x = 6,487.26 × 3,516.77
  4. Step 4: Simplify right side
    4,697.75x = 22,814,204.38
  5. Step 5: Solve for x
    x = 22,814,204.38/4,697.75
  6. Step 6: Final answer
    x = 4,856.41

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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.