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Finding the Fourth Proportional to 6,188.64, 9,296.28 and 3,881.76

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Solution

The fourth proportional to 6,188.64, 9,296.28 and 3,881.76 is: 5,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.64 : 9,296.28 = 3,881.76 : x
  2. Step 2: Convert to fraction form
    6,188.64/9,296.28 = 3,881.76/x
  3. Step 3: Cross multiply
    6,188.64x = 9,296.28 × 3,881.76
  4. Step 4: Simplify right side
    6,188.64x = 36,085,927.85
  5. Step 5: Solve for x
    x = 36,085,927.85/6,188.64
  6. Step 6: Final answer
    x = 5,830.99

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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.