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Finding the Fourth Proportional to 5,946.56, 8,919.88 and 1,564.46

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Solution

The fourth proportional to 5,946.56, 8,919.88 and 1,564.46 is: 2,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.56 : 8,919.88 = 1,564.46 : x
  2. Step 2: Convert to fraction form
    5,946.56/8,919.88 = 1,564.46/x
  3. Step 3: Cross multiply
    5,946.56x = 8,919.88 × 1,564.46
  4. Step 4: Simplify right side
    5,946.56x = 13,954,795.46
  5. Step 5: Solve for x
    x = 13,954,795.46/5,946.56
  6. Step 6: Final answer
    x = 2,346.70

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