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Finding the Fourth Proportional to 5,946.96, 8,919.04 and 2,658.24

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Solution

The fourth proportional to 5,946.96, 8,919.04 and 2,658.24 is: 3,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.96 : 8,919.04 = 2,658.24 : x
  2. Step 2: Convert to fraction form
    5,946.96/8,919.04 = 2,658.24/x
  3. Step 3: Cross multiply
    5,946.96x = 8,919.04 × 2,658.24
  4. Step 4: Simplify right side
    5,946.96x = 23,708,948.89
  5. Step 5: Solve for x
    x = 23,708,948.89/5,946.96
  6. Step 6: Final answer
    x = 3,986.73

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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.