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Finding the Fourth Proportional to 5,298.16, 7,946.46 and 1,402.84

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Solution

The fourth proportional to 5,298.16, 7,946.46 and 1,402.84 is: 2,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.16 : 7,946.46 = 1,402.84 : x
  2. Step 2: Convert to fraction form
    5,298.16/7,946.46 = 1,402.84/x
  3. Step 3: Cross multiply
    5,298.16x = 7,946.46 × 1,402.84
  4. Step 4: Simplify right side
    5,298.16x = 11,147,611.95
  5. Step 5: Solve for x
    x = 11,147,611.95/5,298.16
  6. Step 6: Final answer
    x = 2,104.05

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