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Finding the Fourth Proportional to 5,206.22, 7,810.14 and 1,695.40

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Solution

The fourth proportional to 5,206.22, 7,810.14 and 1,695.40 is: 2,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.22 : 7,810.14 = 1,695.40 : x
  2. Step 2: Convert to fraction form
    5,206.22/7,810.14 = 1,695.40/x
  3. Step 3: Cross multiply
    5,206.22x = 7,810.14 × 1,695.40
  4. Step 4: Simplify right side
    5,206.22x = 13,241,293.42
  5. Step 5: Solve for x
    x = 13,241,293.42/5,206.22
  6. Step 6: Final answer
    x = 2,543.36

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