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Finding the Fourth Proportional to 4,565.60, 6,838.68 and 2,828.96

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Solution

The fourth proportional to 4,565.60, 6,838.68 and 2,828.96 is: 4,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.60 : 6,838.68 = 2,828.96 : x
  2. Step 2: Convert to fraction form
    4,565.60/6,838.68 = 2,828.96/x
  3. Step 3: Cross multiply
    4,565.60x = 6,838.68 × 2,828.96
  4. Step 4: Simplify right side
    4,565.60x = 19,346,352.17
  5. Step 5: Solve for x
    x = 19,346,352.17/4,565.60
  6. Step 6: Final answer
    x = 4,237.42

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