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Finding the Fourth Proportional to 4,657.44, 6,985.68 and 2,920.80

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Solution

The fourth proportional to 4,657.44, 6,985.68 and 2,920.80 is: 4,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.44 : 6,985.68 = 2,920.80 : x
  2. Step 2: Convert to fraction form
    4,657.44/6,985.68 = 2,920.80/x
  3. Step 3: Cross multiply
    4,657.44x = 6,985.68 × 2,920.80
  4. Step 4: Simplify right side
    4,657.44x = 20,403,774.14
  5. Step 5: Solve for x
    x = 20,403,774.14/4,657.44
  6. Step 6: Final answer
    x = 4,380.90

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