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Finding the Fourth Proportional to 5,207.51, 7,814.33 and 1,922.90

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Solution

The fourth proportional to 5,207.51, 7,814.33 and 1,922.90 is: 2,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.51 : 7,814.33 = 1,922.90 : x
  2. Step 2: Convert to fraction form
    5,207.51/7,814.33 = 1,922.90/x
  3. Step 3: Cross multiply
    5,207.51x = 7,814.33 × 1,922.90
  4. Step 4: Simplify right side
    5,207.51x = 15,026,126.47
  5. Step 5: Solve for x
    x = 15,026,126.47/5,207.51
  6. Step 6: Final answer
    x = 2,885.48

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