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Finding the Fourth Proportional to 4,006.20, 6,006.10 and 1,695.80

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Solution

The fourth proportional to 4,006.20, 6,006.10 and 1,695.80 is: 2,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.20 : 6,006.10 = 1,695.80 : x
  2. Step 2: Convert to fraction form
    4,006.20/6,006.10 = 1,695.80/x
  3. Step 3: Cross multiply
    4,006.20x = 6,006.10 × 1,695.80
  4. Step 4: Simplify right side
    4,006.20x = 10,185,144.38
  5. Step 5: Solve for x
    x = 10,185,144.38/4,006.20
  6. Step 6: Final answer
    x = 2,542.35

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