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Finding the Fourth Proportional to 3,742.60, 5,613.90 and 3,159.40

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Solution

The fourth proportional to 3,742.60, 5,613.90 and 3,159.40 is: 4,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.60 : 5,613.90 = 3,159.40 : x
  2. Step 2: Convert to fraction form
    3,742.60/5,613.90 = 3,159.40/x
  3. Step 3: Cross multiply
    3,742.60x = 5,613.90 × 3,159.40
  4. Step 4: Simplify right side
    3,742.60x = 17,736,555.66
  5. Step 5: Solve for x
    x = 17,736,555.66/3,742.60
  6. Step 6: Final answer
    x = 4,739.10

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