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Finding the Fourth Proportional to 4,566.58, 6,852.87 and 1,604.95

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Solution

The fourth proportional to 4,566.58, 6,852.87 and 1,604.95 is: 2,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.58 : 6,852.87 = 1,604.95 : x
  2. Step 2: Convert to fraction form
    4,566.58/6,852.87 = 1,604.95/x
  3. Step 3: Cross multiply
    4,566.58x = 6,852.87 × 1,604.95
  4. Step 4: Simplify right side
    4,566.58x = 10,998,513.71
  5. Step 5: Solve for x
    x = 10,998,513.71/4,566.58
  6. Step 6: Final answer
    x = 2,408.48

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