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Finding the Fourth Proportional to 5,705.91, 8,558.95 and 1,546.34

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Solution

The fourth proportional to 5,705.91, 8,558.95 and 1,546.34 is: 2,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.91 : 8,558.95 = 1,546.34 : x
  2. Step 2: Convert to fraction form
    5,705.91/8,558.95 = 1,546.34/x
  3. Step 3: Cross multiply
    5,705.91x = 8,558.95 × 1,546.34
  4. Step 4: Simplify right side
    5,705.91x = 13,235,051.13
  5. Step 5: Solve for x
    x = 13,235,051.13/5,705.91
  6. Step 6: Final answer
    x = 2,319.53

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