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Finding the Fourth Proportional to 6,013.01, 8,298.92 and 3,775.21

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Solution

The fourth proportional to 6,013.01, 8,298.92 and 3,775.21 is: 5,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.01 : 8,298.92 = 3,775.21 : x
  2. Step 2: Convert to fraction form
    6,013.01/8,298.92 = 3,775.21/x
  3. Step 3: Cross multiply
    6,013.01x = 8,298.92 × 3,775.21
  4. Step 4: Simplify right side
    6,013.01x = 31,330,124.28
  5. Step 5: Solve for x
    x = 31,330,124.28/6,013.01
  6. Step 6: Final answer
    x = 5,210.39

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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.