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Finding the Fourth Proportional to 3,842.64, 5,764.05 and 2,534.76

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Solution

The fourth proportional to 3,842.64, 5,764.05 and 2,534.76 is: 3,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.64 : 5,764.05 = 2,534.76 : x
  2. Step 2: Convert to fraction form
    3,842.64/5,764.05 = 2,534.76/x
  3. Step 3: Cross multiply
    3,842.64x = 5,764.05 × 2,534.76
  4. Step 4: Simplify right side
    3,842.64x = 14,610,483.38
  5. Step 5: Solve for x
    x = 14,610,483.38/3,842.64
  6. Step 6: Final answer
    x = 3,802.20

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