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Finding the Fourth Proportional to 3,916.80, 5,874.32 and 1,143.44

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Solution

The fourth proportional to 3,916.80, 5,874.32 and 1,143.44 is: 1,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.80 : 5,874.32 = 1,143.44 : x
  2. Step 2: Convert to fraction form
    3,916.80/5,874.32 = 1,143.44/x
  3. Step 3: Cross multiply
    3,916.80x = 5,874.32 × 1,143.44
  4. Step 4: Simplify right side
    3,916.80x = 6,716,932.46
  5. Step 5: Solve for x
    x = 6,716,932.46/3,916.80
  6. Step 6: Final answer
    x = 1,714.90

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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.