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Finding the Fourth Proportional to 3,798.09, 5,696.24 and 1,457.28

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Solution

The fourth proportional to 3,798.09, 5,696.24 and 1,457.28 is: 2,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.09 : 5,696.24 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    3,798.09/5,696.24 = 1,457.28/x
  3. Step 3: Cross multiply
    3,798.09x = 5,696.24 × 1,457.28
  4. Step 4: Simplify right side
    3,798.09x = 8,301,009.34
  5. Step 5: Solve for x
    x = 8,301,009.34/3,798.09
  6. Step 6: Final answer
    x = 2,185.57

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