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Finding the Fourth Proportional to 3,916.10, 5,876 and 1,969.67

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Solution

The fourth proportional to 3,916.10, 5,876 and 1,969.67 is: 2,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.10 : 5,876 = 1,969.67 : x
  2. Step 2: Convert to fraction form
    3,916.10/5,876 = 1,969.67/x
  3. Step 3: Cross multiply
    3,916.10x = 5,876 × 1,969.67
  4. Step 4: Simplify right side
    3,916.10x = 11,573,780.92
  5. Step 5: Solve for x
    x = 11,573,780.92/3,916.10
  6. Step 6: Final answer
    x = 2,955.44

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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.