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Finding the Fourth Proportional to 3,911.42, 5,869.03 and 1,719.86

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Solution

The fourth proportional to 3,911.42, 5,869.03 and 1,719.86 is: 2,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.42 : 5,869.03 = 1,719.86 : x
  2. Step 2: Convert to fraction form
    3,911.42/5,869.03 = 1,719.86/x
  3. Step 3: Cross multiply
    3,911.42x = 5,869.03 × 1,719.86
  4. Step 4: Simplify right side
    3,911.42x = 10,093,909.94
  5. Step 5: Solve for x
    x = 10,093,909.94/3,911.42
  6. Step 6: Final answer
    x = 2,580.63

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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.