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Finding the Fourth Proportional to 4,648.86, 6,966.96 and 2,565.75

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Solution

The fourth proportional to 4,648.86, 6,966.96 and 2,565.75 is: 3,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.86 : 6,966.96 = 2,565.75 : x
  2. Step 2: Convert to fraction form
    4,648.86/6,966.96 = 2,565.75/x
  3. Step 3: Cross multiply
    4,648.86x = 6,966.96 × 2,565.75
  4. Step 4: Simplify right side
    4,648.86x = 17,875,477.62
  5. Step 5: Solve for x
    x = 17,875,477.62/4,648.86
  6. Step 6: Final answer
    x = 3,845.13

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