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Finding the Fourth Proportional to 3,849.72, 5,774.34 and 1,509.63

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Solution

The fourth proportional to 3,849.72, 5,774.34 and 1,509.63 is: 2,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.72 : 5,774.34 = 1,509.63 : x
  2. Step 2: Convert to fraction form
    3,849.72/5,774.34 = 1,509.63/x
  3. Step 3: Cross multiply
    3,849.72x = 5,774.34 × 1,509.63
  4. Step 4: Simplify right side
    3,849.72x = 8,717,116.89
  5. Step 5: Solve for x
    x = 8,717,116.89/3,849.72
  6. Step 6: Final answer
    x = 2,264.35

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