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Finding the Fourth Proportional to 6,087.42, 8,398.39 and 4,497.90

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Solution

The fourth proportional to 6,087.42, 8,398.39 and 4,497.90 is: 6,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.42 : 8,398.39 = 4,497.90 : x
  2. Step 2: Convert to fraction form
    6,087.42/8,398.39 = 4,497.90/x
  3. Step 3: Cross multiply
    6,087.42x = 8,398.39 × 4,497.90
  4. Step 4: Simplify right side
    6,087.42x = 37,775,118.38
  5. Step 5: Solve for x
    x = 37,775,118.38/6,087.42
  6. Step 6: Final answer
    x = 6,205.44

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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.