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Finding the Fourth Proportional to 3,863.46, 5,795.13 and 941.76

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Solution

The fourth proportional to 3,863.46, 5,795.13 and 941.76 is: 1,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.46 : 5,795.13 = 941.76 : x
  2. Step 2: Convert to fraction form
    3,863.46/5,795.13 = 941.76/x
  3. Step 3: Cross multiply
    3,863.46x = 5,795.13 × 941.76
  4. Step 4: Simplify right side
    3,863.46x = 5,457,621.63
  5. Step 5: Solve for x
    x = 5,457,621.63/3,863.46
  6. Step 6: Final answer
    x = 1,412.63

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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.