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Finding the Fourth Proportional to 6,298.20, 8,685.90 and 4,204.44

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Solution

The fourth proportional to 6,298.20, 8,685.90 and 4,204.44 is: 5,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.20 : 8,685.90 = 4,204.44 : x
  2. Step 2: Convert to fraction form
    6,298.20/8,685.90 = 4,204.44/x
  3. Step 3: Cross multiply
    6,298.20x = 8,685.90 × 4,204.44
  4. Step 4: Simplify right side
    6,298.20x = 36,519,345.40
  5. Step 5: Solve for x
    x = 36,519,345.40/6,298.20
  6. Step 6: Final answer
    x = 5,798.38

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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.