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Finding the Fourth Proportional to 5,156.38, 7,733.67 and 1,457.74

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Solution

The fourth proportional to 5,156.38, 7,733.67 and 1,457.74 is: 2,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.38 : 7,733.67 = 1,457.74 : x
  2. Step 2: Convert to fraction form
    5,156.38/7,733.67 = 1,457.74/x
  3. Step 3: Cross multiply
    5,156.38x = 7,733.67 × 1,457.74
  4. Step 4: Simplify right side
    5,156.38x = 11,273,680.11
  5. Step 5: Solve for x
    x = 11,273,680.11/5,156.38
  6. Step 6: Final answer
    x = 2,186.36

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