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Finding the Fourth Proportional to 3,967.18, 5,950.53 and 1,193.78

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Solution

The fourth proportional to 3,967.18, 5,950.53 and 1,193.78 is: 1,790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.18 : 5,950.53 = 1,193.78 : x
  2. Step 2: Convert to fraction form
    3,967.18/5,950.53 = 1,193.78/x
  3. Step 3: Cross multiply
    3,967.18x = 5,950.53 × 1,193.78
  4. Step 4: Simplify right side
    3,967.18x = 7,103,638.58
  5. Step 5: Solve for x
    x = 7,103,638.58/3,967.18
  6. Step 6: Final answer
    x = 1,790.60

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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.