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Finding the Fourth Proportional to 5,156.45, 7,733.81 and 1,457.84

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Solution

The fourth proportional to 5,156.45, 7,733.81 and 1,457.84 is: 2,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.45 : 7,733.81 = 1,457.84 : x
  2. Step 2: Convert to fraction form
    5,156.45/7,733.81 = 1,457.84/x
  3. Step 3: Cross multiply
    5,156.45x = 7,733.81 × 1,457.84
  4. Step 4: Simplify right side
    5,156.45x = 11,274,657.57
  5. Step 5: Solve for x
    x = 11,274,657.57/5,156.45
  6. Step 6: Final answer
    x = 2,186.52

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