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Finding the Fourth Proportional to 6,093.16, 8,409.06 and 3,736.36

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Solution

The fourth proportional to 6,093.16, 8,409.06 and 3,736.36 is: 5,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.16 : 8,409.06 = 3,736.36 : x
  2. Step 2: Convert to fraction form
    6,093.16/8,409.06 = 3,736.36/x
  3. Step 3: Cross multiply
    6,093.16x = 8,409.06 × 3,736.36
  4. Step 4: Simplify right side
    6,093.16x = 31,419,275.42
  5. Step 5: Solve for x
    x = 31,419,275.42/6,093.16
  6. Step 6: Final answer
    x = 5,156.48

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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.