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Finding the Fourth Proportional to 3,717.41, 5,576.09 and 944.07

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Solution

The fourth proportional to 3,717.41, 5,576.09 and 944.07 is: 1,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.41 : 5,576.09 = 944.07 : x
  2. Step 2: Convert to fraction form
    3,717.41/5,576.09 = 944.07/x
  3. Step 3: Cross multiply
    3,717.41x = 5,576.09 × 944.07
  4. Step 4: Simplify right side
    3,717.41x = 5,264,214.57
  5. Step 5: Solve for x
    x = 5,264,214.57/3,717.41
  6. Step 6: Final answer
    x = 1,416.10

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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.