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Finding the Fourth Proportional to 5,201.19, 7,804.86 and 1,916.58

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Solution

The fourth proportional to 5,201.19, 7,804.86 and 1,916.58 is: 2,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.19 : 7,804.86 = 1,916.58 : x
  2. Step 2: Convert to fraction form
    5,201.19/7,804.86 = 1,916.58/x
  3. Step 3: Cross multiply
    5,201.19x = 7,804.86 × 1,916.58
  4. Step 4: Simplify right side
    5,201.19x = 14,958,638.58
  5. Step 5: Solve for x
    x = 14,958,638.58/5,201.19
  6. Step 6: Final answer
    x = 2,876.00

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