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Finding the Fourth Proportional to 3,968.15, 5,952.17 and 1,006.59

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Solution

The fourth proportional to 3,968.15, 5,952.17 and 1,006.59 is: 1,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.15 : 5,952.17 = 1,006.59 : x
  2. Step 2: Convert to fraction form
    3,968.15/5,952.17 = 1,006.59/x
  3. Step 3: Cross multiply
    3,968.15x = 5,952.17 × 1,006.59
  4. Step 4: Simplify right side
    3,968.15x = 5,991,393.11
  5. Step 5: Solve for x
    x = 5,991,393.11/3,968.15
  6. Step 6: Final answer
    x = 1,509.87

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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.