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Finding the Fourth Proportional to 3,717.69, 5,576.01 and 944.19

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Solution

The fourth proportional to 3,717.69, 5,576.01 and 944.19 is: 1,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.69 : 5,576.01 = 944.19 : x
  2. Step 2: Convert to fraction form
    3,717.69/5,576.01 = 944.19/x
  3. Step 3: Cross multiply
    3,717.69x = 5,576.01 × 944.19
  4. Step 4: Simplify right side
    3,717.69x = 5,264,812.88
  5. Step 5: Solve for x
    x = 5,264,812.88/3,717.69
  6. Step 6: Final answer
    x = 1,416.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.