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Finding the Fourth Proportional to 3,865.72, 5,798.56 and 944.04

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Solution

The fourth proportional to 3,865.72, 5,798.56 and 944.04 is: 1,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.72 : 5,798.56 = 944.04 : x
  2. Step 2: Convert to fraction form
    3,865.72/5,798.56 = 944.04/x
  3. Step 3: Cross multiply
    3,865.72x = 5,798.56 × 944.04
  4. Step 4: Simplify right side
    3,865.72x = 5,474,072.58
  5. Step 5: Solve for x
    x = 5,474,072.58/3,865.72
  6. Step 6: Final answer
    x = 1,416.06

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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.