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Finding the Fourth Proportional to 4,487.40, 6,731.42 and 1,409.64

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Solution

The fourth proportional to 4,487.40, 6,731.42 and 1,409.64 is: 2,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.40 : 6,731.42 = 1,409.64 : x
  2. Step 2: Convert to fraction form
    4,487.40/6,731.42 = 1,409.64/x
  3. Step 3: Cross multiply
    4,487.40x = 6,731.42 × 1,409.64
  4. Step 4: Simplify right side
    4,487.40x = 9,488,878.89
  5. Step 5: Solve for x
    x = 9,488,878.89/4,487.40
  6. Step 6: Final answer
    x = 2,114.56

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