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Finding the Fourth Proportional to 5,949.54, 8,924.78 and 1,566.95

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Solution

The fourth proportional to 5,949.54, 8,924.78 and 1,566.95 is: 2,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.54 : 8,924.78 = 1,566.95 : x
  2. Step 2: Convert to fraction form
    5,949.54/8,924.78 = 1,566.95/x
  3. Step 3: Cross multiply
    5,949.54x = 8,924.78 × 1,566.95
  4. Step 4: Simplify right side
    5,949.54x = 13,984,631.56
  5. Step 5: Solve for x
    x = 13,984,631.56/5,949.54
  6. Step 6: Final answer
    x = 2,350.54

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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.