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Finding the Fourth Proportional to 5,185.98, 7,780.68 and 2,223.20

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Solution

The fourth proportional to 5,185.98, 7,780.68 and 2,223.20 is: 3,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.98 : 7,780.68 = 2,223.20 : x
  2. Step 2: Convert to fraction form
    5,185.98/7,780.68 = 2,223.20/x
  3. Step 3: Cross multiply
    5,185.98x = 7,780.68 × 2,223.20
  4. Step 4: Simplify right side
    5,185.98x = 17,297,968.87
  5. Step 5: Solve for x
    x = 17,297,968.87/5,185.98
  6. Step 6: Final answer
    x = 3,335.53

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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.