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Finding the Fourth Proportional to 4,005, 6,007.77 and 1,083.42

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Solution

The fourth proportional to 4,005, 6,007.77 and 1,083.42 is: 1,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005 : 6,007.77 = 1,083.42 : x
  2. Step 2: Convert to fraction form
    4,005/6,007.77 = 1,083.42/x
  3. Step 3: Cross multiply
    4,005x = 6,007.77 × 1,083.42
  4. Step 4: Simplify right side
    4,005x = 6,508,938.17
  5. Step 5: Solve for x
    x = 6,508,938.17/4,005
  6. Step 6: Final answer
    x = 1,625.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.