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Finding the Fourth Proportional to 2,909.77, 4,364.65 and 2,569.57

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Solution

The fourth proportional to 2,909.77, 4,364.65 and 2,569.57 is: 3,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.77 : 4,364.65 = 2,569.57 : x
  2. Step 2: Convert to fraction form
    2,909.77/4,364.65 = 2,569.57/x
  3. Step 3: Cross multiply
    2,909.77x = 4,364.65 × 2,569.57
  4. Step 4: Simplify right side
    2,909.77x = 11,215,273.70
  5. Step 5: Solve for x
    x = 11,215,273.70/2,909.77
  6. Step 6: Final answer
    x = 3,854.35

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