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Finding the Fourth Proportional to 4,199.96, 6,298.11 and 1,566.45

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Solution

The fourth proportional to 4,199.96, 6,298.11 and 1,566.45 is: 2,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.96 : 6,298.11 = 1,566.45 : x
  2. Step 2: Convert to fraction form
    4,199.96/6,298.11 = 1,566.45/x
  3. Step 3: Cross multiply
    4,199.96x = 6,298.11 × 1,566.45
  4. Step 4: Simplify right side
    4,199.96x = 9,865,661.10
  5. Step 5: Solve for x
    x = 9,865,661.10/4,199.96
  6. Step 6: Final answer
    x = 2,348.99

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