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Finding the Fourth Proportional to 3,742.47, 5,613.84 and 1,402.65

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Solution

The fourth proportional to 3,742.47, 5,613.84 and 1,402.65 is: 2,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.47 : 5,613.84 = 1,402.65 : x
  2. Step 2: Convert to fraction form
    3,742.47/5,613.84 = 1,402.65/x
  3. Step 3: Cross multiply
    3,742.47x = 5,613.84 × 1,402.65
  4. Step 4: Simplify right side
    3,742.47x = 7,874,252.68
  5. Step 5: Solve for x
    x = 7,874,252.68/3,742.47
  6. Step 6: Final answer
    x = 2,104.03

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