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Finding the Fourth Proportional to 4,539.81, 6,804.05 and 2,565.30

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Solution

The fourth proportional to 4,539.81, 6,804.05 and 2,565.30 is: 3,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.81 : 6,804.05 = 2,565.30 : x
  2. Step 2: Convert to fraction form
    4,539.81/6,804.05 = 2,565.30/x
  3. Step 3: Cross multiply
    4,539.81x = 6,804.05 × 2,565.30
  4. Step 4: Simplify right side
    4,539.81x = 17,454,416.64
  5. Step 5: Solve for x
    x = 17,454,416.64/4,539.81
  6. Step 6: Final answer
    x = 3,844.75

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