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Finding the Fourth Proportional to 3,788.96, 5,684.24 and 1,598.72

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Solution

The fourth proportional to 3,788.96, 5,684.24 and 1,598.72 is: 2,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.96 : 5,684.24 = 1,598.72 : x
  2. Step 2: Convert to fraction form
    3,788.96/5,684.24 = 1,598.72/x
  3. Step 3: Cross multiply
    3,788.96x = 5,684.24 × 1,598.72
  4. Step 4: Simplify right side
    3,788.96x = 9,087,508.17
  5. Step 5: Solve for x
    x = 9,087,508.17/3,788.96
  6. Step 6: Final answer
    x = 2,398.42

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