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Finding the Fourth Proportional to 6,311.01, 8,712.15 and 3,657.93

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Solution

The fourth proportional to 6,311.01, 8,712.15 and 3,657.93 is: 5,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.01 : 8,712.15 = 3,657.93 : x
  2. Step 2: Convert to fraction form
    6,311.01/8,712.15 = 3,657.93/x
  3. Step 3: Cross multiply
    6,311.01x = 8,712.15 × 3,657.93
  4. Step 4: Simplify right side
    6,311.01x = 31,868,434.85
  5. Step 5: Solve for x
    x = 31,868,434.85/6,311.01
  6. Step 6: Final answer
    x = 5,049.66

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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.