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Finding the Fourth Proportional to 3,830.22, 5,746.40 and 1,365.29

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Solution

The fourth proportional to 3,830.22, 5,746.40 and 1,365.29 is: 2,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.22 : 5,746.40 = 1,365.29 : x
  2. Step 2: Convert to fraction form
    3,830.22/5,746.40 = 1,365.29/x
  3. Step 3: Cross multiply
    3,830.22x = 5,746.40 × 1,365.29
  4. Step 4: Simplify right side
    3,830.22x = 7,845,502.46
  5. Step 5: Solve for x
    x = 7,845,502.46/3,830.22
  6. Step 6: Final answer
    x = 2,048.32

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