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Finding the Fourth Proportional to 5,214.65, 7,821.90 and 1,265.93

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Solution

The fourth proportional to 5,214.65, 7,821.90 and 1,265.93 is: 1,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.65 : 7,821.90 = 1,265.93 : x
  2. Step 2: Convert to fraction form
    5,214.65/7,821.90 = 1,265.93/x
  3. Step 3: Cross multiply
    5,214.65x = 7,821.90 × 1,265.93
  4. Step 4: Simplify right side
    5,214.65x = 9,901,963.34
  5. Step 5: Solve for x
    x = 9,901,963.34/5,214.65
  6. Step 6: Final answer
    x = 1,898.88

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