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Finding the Fourth Proportional to 3,870.63, 5,798.27 and 1,787.76

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Solution

The fourth proportional to 3,870.63, 5,798.27 and 1,787.76 is: 2,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.63 : 5,798.27 = 1,787.76 : x
  2. Step 2: Convert to fraction form
    3,870.63/5,798.27 = 1,787.76/x
  3. Step 3: Cross multiply
    3,870.63x = 5,798.27 × 1,787.76
  4. Step 4: Simplify right side
    3,870.63x = 10,365,919.64
  5. Step 5: Solve for x
    x = 10,365,919.64/3,870.63
  6. Step 6: Final answer
    x = 2,678.10

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