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Finding the Fourth Proportional to 5,156.32, 7,730.28 and 2,557.84

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Solution

The fourth proportional to 5,156.32, 7,730.28 and 2,557.84 is: 3,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.32 : 7,730.28 = 2,557.84 : x
  2. Step 2: Convert to fraction form
    5,156.32/7,730.28 = 2,557.84/x
  3. Step 3: Cross multiply
    5,156.32x = 7,730.28 × 2,557.84
  4. Step 4: Simplify right side
    5,156.32x = 19,772,819.40
  5. Step 5: Solve for x
    x = 19,772,819.40/5,156.32
  6. Step 6: Final answer
    x = 3,834.68

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