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Finding the Fourth Proportional to 4,638.40, 6,957.70 and 1,827.16

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Solution

The fourth proportional to 4,638.40, 6,957.70 and 1,827.16 is: 2,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.40 : 6,957.70 = 1,827.16 : x
  2. Step 2: Convert to fraction form
    4,638.40/6,957.70 = 1,827.16/x
  3. Step 3: Cross multiply
    4,638.40x = 6,957.70 × 1,827.16
  4. Step 4: Simplify right side
    4,638.40x = 12,712,809.17
  5. Step 5: Solve for x
    x = 12,712,809.17/4,638.40
  6. Step 6: Final answer
    x = 2,740.78

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