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Finding the Fourth Proportional to 3,648.96, 5,468.76 and 1,566.54

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Solution

The fourth proportional to 3,648.96, 5,468.76 and 1,566.54 is: 2,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.96 : 5,468.76 = 1,566.54 : x
  2. Step 2: Convert to fraction form
    3,648.96/5,468.76 = 1,566.54/x
  3. Step 3: Cross multiply
    3,648.96x = 5,468.76 × 1,566.54
  4. Step 4: Simplify right side
    3,648.96x = 8,567,031.29
  5. Step 5: Solve for x
    x = 8,567,031.29/3,648.96
  6. Step 6: Final answer
    x = 2,347.80

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