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Finding the Fourth Proportional to 5,209.02, 7,807.86 and 1,919.34

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Solution

The fourth proportional to 5,209.02, 7,807.86 and 1,919.34 is: 2,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.02 : 7,807.86 = 1,919.34 : x
  2. Step 2: Convert to fraction form
    5,209.02/7,807.86 = 1,919.34/x
  3. Step 3: Cross multiply
    5,209.02x = 7,807.86 × 1,919.34
  4. Step 4: Simplify right side
    5,209.02x = 14,985,938.01
  5. Step 5: Solve for x
    x = 14,985,938.01/5,209.02
  6. Step 6: Final answer
    x = 2,876.92

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