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Finding the Fourth Proportional to 5,223.48, 7,833.66 and 2,756.98

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Solution

The fourth proportional to 5,223.48, 7,833.66 and 2,756.98 is: 4,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.48 : 7,833.66 = 2,756.98 : x
  2. Step 2: Convert to fraction form
    5,223.48/7,833.66 = 2,756.98/x
  3. Step 3: Cross multiply
    5,223.48x = 7,833.66 × 2,756.98
  4. Step 4: Simplify right side
    5,223.48x = 21,597,243.95
  5. Step 5: Solve for x
    x = 21,597,243.95/5,223.48
  6. Step 6: Final answer
    x = 4,134.65

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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.