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Finding the Fourth Proportional to 3,916.32, 5,874.50 and 994.63

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Solution

The fourth proportional to 3,916.32, 5,874.50 and 994.63 is: 1,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.32 : 5,874.50 = 994.63 : x
  2. Step 2: Convert to fraction form
    3,916.32/5,874.50 = 994.63/x
  3. Step 3: Cross multiply
    3,916.32x = 5,874.50 × 994.63
  4. Step 4: Simplify right side
    3,916.32x = 5,842,949.95
  5. Step 5: Solve for x
    x = 5,842,949.95/3,916.32
  6. Step 6: Final answer
    x = 1,491.95

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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.