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Finding the Fourth Proportional to 5,238.14, 7,856.40 and 4,948.98

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Solution

The fourth proportional to 5,238.14, 7,856.40 and 4,948.98 is: 7,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.14 : 7,856.40 = 4,948.98 : x
  2. Step 2: Convert to fraction form
    5,238.14/7,856.40 = 4,948.98/x
  3. Step 3: Cross multiply
    5,238.14x = 7,856.40 × 4,948.98
  4. Step 4: Simplify right side
    5,238.14x = 38,881,166.47
  5. Step 5: Solve for x
    x = 38,881,166.47/5,238.14
  6. Step 6: Final answer
    x = 7,422.70

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