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Finding the Fourth Proportional to 3,107.52, 4,656.96 and 1,566.72

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Solution

The fourth proportional to 3,107.52, 4,656.96 and 1,566.72 is: 2,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.52 : 4,656.96 = 1,566.72 : x
  2. Step 2: Convert to fraction form
    3,107.52/4,656.96 = 1,566.72/x
  3. Step 3: Cross multiply
    3,107.52x = 4,656.96 × 1,566.72
  4. Step 4: Simplify right side
    3,107.52x = 7,296,152.37
  5. Step 5: Solve for x
    x = 7,296,152.37/3,107.52
  6. Step 6: Final answer
    x = 2,347.90

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