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Finding the Fourth Proportional to 3,717.59, 5,576.49 and 1,252.49

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Solution

The fourth proportional to 3,717.59, 5,576.49 and 1,252.49 is: 1,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.59 : 5,576.49 = 1,252.49 : x
  2. Step 2: Convert to fraction form
    3,717.59/5,576.49 = 1,252.49/x
  3. Step 3: Cross multiply
    3,717.59x = 5,576.49 × 1,252.49
  4. Step 4: Simplify right side
    3,717.59x = 6,984,497.96
  5. Step 5: Solve for x
    x = 6,984,497.96/3,717.59
  6. Step 6: Final answer
    x = 1,878.77

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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.