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Finding the Fourth Proportional to 4,569.64, 6,854.44 and 1,106.88

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Solution

The fourth proportional to 4,569.64, 6,854.44 and 1,106.88 is: 1,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.64 : 6,854.44 = 1,106.88 : x
  2. Step 2: Convert to fraction form
    4,569.64/6,854.44 = 1,106.88/x
  3. Step 3: Cross multiply
    4,569.64x = 6,854.44 × 1,106.88
  4. Step 4: Simplify right side
    4,569.64x = 7,587,042.55
  5. Step 5: Solve for x
    x = 7,587,042.55/4,569.64
  6. Step 6: Final answer
    x = 1,660.32

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