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Finding the Fourth Proportional to 5,183.58, 7,774.46 and 1,897.62

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Solution

The fourth proportional to 5,183.58, 7,774.46 and 1,897.62 is: 2,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.58 : 7,774.46 = 1,897.62 : x
  2. Step 2: Convert to fraction form
    5,183.58/7,774.46 = 1,897.62/x
  3. Step 3: Cross multiply
    5,183.58x = 7,774.46 × 1,897.62
  4. Step 4: Simplify right side
    5,183.58x = 14,752,970.79
  5. Step 5: Solve for x
    x = 14,752,970.79/5,183.58
  6. Step 6: Final answer
    x = 2,846.10

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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.