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Finding the Fourth Proportional to 6,013.01, 8,298.38 and 3,917.14

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Solution

The fourth proportional to 6,013.01, 8,298.38 and 3,917.14 is: 5,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.01 : 8,298.38 = 3,917.14 : x
  2. Step 2: Convert to fraction form
    6,013.01/8,298.38 = 3,917.14/x
  3. Step 3: Cross multiply
    6,013.01x = 8,298.38 × 3,917.14
  4. Step 4: Simplify right side
    6,013.01x = 32,505,916.23
  5. Step 5: Solve for x
    x = 32,505,916.23/6,013.01
  6. Step 6: Final answer
    x = 5,405.93

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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.