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Finding the Fourth Proportional to 5,949.50, 8,924.80 and 1,566.98

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Solution

The fourth proportional to 5,949.50, 8,924.80 and 1,566.98 is: 2,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.50 : 8,924.80 = 1,566.98 : x
  2. Step 2: Convert to fraction form
    5,949.50/8,924.80 = 1,566.98/x
  3. Step 3: Cross multiply
    5,949.50x = 8,924.80 × 1,566.98
  4. Step 4: Simplify right side
    5,949.50x = 13,984,983.10
  5. Step 5: Solve for x
    x = 13,984,983.10/5,949.50
  6. Step 6: Final answer
    x = 2,350.61

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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.