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Finding the Fourth Proportional to 6,094.38, 8,407.73 and 4,105.58

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Solution

The fourth proportional to 6,094.38, 8,407.73 and 4,105.58 is: 5,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.38 : 8,407.73 = 4,105.58 : x
  2. Step 2: Convert to fraction form
    6,094.38/8,407.73 = 4,105.58/x
  3. Step 3: Cross multiply
    6,094.38x = 8,407.73 × 4,105.58
  4. Step 4: Simplify right side
    6,094.38x = 34,518,608.13
  5. Step 5: Solve for x
    x = 34,518,608.13/6,094.38
  6. Step 6: Final answer
    x = 5,664.01

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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.