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Finding the Fourth Proportional to 3,855.18, 5,783.13 and 1,775.76

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Solution

The fourth proportional to 3,855.18, 5,783.13 and 1,775.76 is: 2,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.18 : 5,783.13 = 1,775.76 : x
  2. Step 2: Convert to fraction form
    3,855.18/5,783.13 = 1,775.76/x
  3. Step 3: Cross multiply
    3,855.18x = 5,783.13 × 1,775.76
  4. Step 4: Simplify right side
    3,855.18x = 10,269,450.93
  5. Step 5: Solve for x
    x = 10,269,450.93/3,855.18
  6. Step 6: Final answer
    x = 2,663.81

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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.