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Finding the Fourth Proportional to 3,717.02, 5,125 and 3,211.96

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Solution

The fourth proportional to 3,717.02, 5,125 and 3,211.96 is: 4,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.02 : 5,125 = 3,211.96 : x
  2. Step 2: Convert to fraction form
    3,717.02/5,125 = 3,211.96/x
  3. Step 3: Cross multiply
    3,717.02x = 5,125 × 3,211.96
  4. Step 4: Simplify right side
    3,717.02x = 16,461,295
  5. Step 5: Solve for x
    x = 16,461,295/3,717.02
  6. Step 6: Final answer
    x = 4,428.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.