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Finding the Fourth Proportional to 5,223.40, 7,835.16 and 1,760.64

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Solution

The fourth proportional to 5,223.40, 7,835.16 and 1,760.64 is: 2,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.40 : 7,835.16 = 1,760.64 : x
  2. Step 2: Convert to fraction form
    5,223.40/7,835.16 = 1,760.64/x
  3. Step 3: Cross multiply
    5,223.40x = 7,835.16 × 1,760.64
  4. Step 4: Simplify right side
    5,223.40x = 13,794,896.10
  5. Step 5: Solve for x
    x = 13,794,896.10/5,223.40
  6. Step 6: Final answer
    x = 2,640.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.