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Finding the Fourth Proportional to 4,199.92, 6,300.24 and 1,566.61

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Solution

The fourth proportional to 4,199.92, 6,300.24 and 1,566.61 is: 2,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.92 : 6,300.24 = 1,566.61 : x
  2. Step 2: Convert to fraction form
    4,199.92/6,300.24 = 1,566.61/x
  3. Step 3: Cross multiply
    4,199.92x = 6,300.24 × 1,566.61
  4. Step 4: Simplify right side
    4,199.92x = 9,870,018.99
  5. Step 5: Solve for x
    x = 9,870,018.99/4,199.92
  6. Step 6: Final answer
    x = 2,350.05

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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.