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Finding the Fourth Proportional to 3,541.92, 5,312.48 and 1,462.16

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Solution

The fourth proportional to 3,541.92, 5,312.48 and 1,462.16 is: 2,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.92 : 5,312.48 = 1,462.16 : x
  2. Step 2: Convert to fraction form
    3,541.92/5,312.48 = 1,462.16/x
  3. Step 3: Cross multiply
    3,541.92x = 5,312.48 × 1,462.16
  4. Step 4: Simplify right side
    3,541.92x = 7,767,695.76
  5. Step 5: Solve for x
    x = 7,767,695.76/3,541.92
  6. Step 6: Final answer
    x = 2,193.07

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