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Finding the Fourth Proportional to 5,208.40, 7,816.20 and 3,748.80

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Solution

The fourth proportional to 5,208.40, 7,816.20 and 3,748.80 is: 5,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.40 : 7,816.20 = 3,748.80 : x
  2. Step 2: Convert to fraction form
    5,208.40/7,816.20 = 3,748.80/x
  3. Step 3: Cross multiply
    5,208.40x = 7,816.20 × 3,748.80
  4. Step 4: Simplify right side
    5,208.40x = 29,301,370.56
  5. Step 5: Solve for x
    x = 29,301,370.56/5,208.40
  6. Step 6: Final answer
    x = 5,625.79

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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.