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Finding the Fourth Proportional to 3,541.53, 5,312.94 and 1,460.40

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Solution

The fourth proportional to 3,541.53, 5,312.94 and 1,460.40 is: 2,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.53 : 5,312.94 = 1,460.40 : x
  2. Step 2: Convert to fraction form
    3,541.53/5,312.94 = 1,460.40/x
  3. Step 3: Cross multiply
    3,541.53x = 5,312.94 × 1,460.40
  4. Step 4: Simplify right side
    3,541.53x = 7,759,017.58
  5. Step 5: Solve for x
    x = 7,759,017.58/3,541.53
  6. Step 6: Final answer
    x = 2,190.87

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