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Finding the Fourth Proportional to 5,233.86, 7,848.90 and 1,535.16

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Solution

The fourth proportional to 5,233.86, 7,848.90 and 1,535.16 is: 2,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.86 : 7,848.90 = 1,535.16 : x
  2. Step 2: Convert to fraction form
    5,233.86/7,848.90 = 1,535.16/x
  3. Step 3: Cross multiply
    5,233.86x = 7,848.90 × 1,535.16
  4. Step 4: Simplify right side
    5,233.86x = 12,049,317.32
  5. Step 5: Solve for x
    x = 12,049,317.32/5,233.86
  6. Step 6: Final answer
    x = 2,302.19

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