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Finding the Fourth Proportional to 5,183.67, 7,772.54 and 1,897.77

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Solution

The fourth proportional to 5,183.67, 7,772.54 and 1,897.77 is: 2,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.67 : 7,772.54 = 1,897.77 : x
  2. Step 2: Convert to fraction form
    5,183.67/7,772.54 = 1,897.77/x
  3. Step 3: Cross multiply
    5,183.67x = 7,772.54 × 1,897.77
  4. Step 4: Simplify right side
    5,183.67x = 14,750,483.75
  5. Step 5: Solve for x
    x = 14,750,483.75/5,183.67
  6. Step 6: Final answer
    x = 2,845.57

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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.