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Finding the Fourth Proportional to 3,886.40, 5,829.60 and 2,428.40

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Solution

The fourth proportional to 3,886.40, 5,829.60 and 2,428.40 is: 3,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.40 : 5,829.60 = 2,428.40 : x
  2. Step 2: Convert to fraction form
    3,886.40/5,829.60 = 2,428.40/x
  3. Step 3: Cross multiply
    3,886.40x = 5,829.60 × 2,428.40
  4. Step 4: Simplify right side
    3,886.40x = 14,156,600.64
  5. Step 5: Solve for x
    x = 14,156,600.64/3,886.40
  6. Step 6: Final answer
    x = 3,642.60

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