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Finding the Fourth Proportional to 4,567.53, 6,854.31 and 2,102.25

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Solution

The fourth proportional to 4,567.53, 6,854.31 and 2,102.25 is: 3,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.53 : 6,854.31 = 2,102.25 : x
  2. Step 2: Convert to fraction form
    4,567.53/6,854.31 = 2,102.25/x
  3. Step 3: Cross multiply
    4,567.53x = 6,854.31 × 2,102.25
  4. Step 4: Simplify right side
    4,567.53x = 14,409,473.20
  5. Step 5: Solve for x
    x = 14,409,473.20/4,567.53
  6. Step 6: Final answer
    x = 3,154.76

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