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Finding the Fourth Proportional to 3,856.83, 5,777.53 and 1,773.98

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Solution

The fourth proportional to 3,856.83, 5,777.53 and 1,773.98 is: 2,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.83 : 5,777.53 = 1,773.98 : x
  2. Step 2: Convert to fraction form
    3,856.83/5,777.53 = 1,773.98/x
  3. Step 3: Cross multiply
    3,856.83x = 5,777.53 × 1,773.98
  4. Step 4: Simplify right side
    3,856.83x = 10,249,222.67
  5. Step 5: Solve for x
    x = 10,249,222.67/3,856.83
  6. Step 6: Final answer
    x = 2,657.42

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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.