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Finding the Fourth Proportional to 5,200.02, 7,784.66 and 3,345.66

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Solution

The fourth proportional to 5,200.02, 7,784.66 and 3,345.66 is: 5,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.02 : 7,784.66 = 3,345.66 : x
  2. Step 2: Convert to fraction form
    5,200.02/7,784.66 = 3,345.66/x
  3. Step 3: Cross multiply
    5,200.02x = 7,784.66 × 3,345.66
  4. Step 4: Simplify right side
    5,200.02x = 26,044,808.85
  5. Step 5: Solve for x
    x = 26,044,808.85/5,200.02
  6. Step 6: Final answer
    x = 5,008.60

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