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Finding the Fourth Proportional to 4,702.56, 7,052.72 and 1,782.24

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Solution

The fourth proportional to 4,702.56, 7,052.72 and 1,782.24 is: 2,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.56 : 7,052.72 = 1,782.24 : x
  2. Step 2: Convert to fraction form
    4,702.56/7,052.72 = 1,782.24/x
  3. Step 3: Cross multiply
    4,702.56x = 7,052.72 × 1,782.24
  4. Step 4: Simplify right side
    4,702.56x = 12,569,639.69
  5. Step 5: Solve for x
    x = 12,569,639.69/4,702.56
  6. Step 6: Final answer
    x = 2,672.94

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