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Finding the Fourth Proportional to 3,344.96, 5,018.52 and 1,397.36

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Solution

The fourth proportional to 3,344.96, 5,018.52 and 1,397.36 is: 2,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.96 : 5,018.52 = 1,397.36 : x
  2. Step 2: Convert to fraction form
    3,344.96/5,018.52 = 1,397.36/x
  3. Step 3: Cross multiply
    3,344.96x = 5,018.52 × 1,397.36
  4. Step 4: Simplify right side
    3,344.96x = 7,012,679.11
  5. Step 5: Solve for x
    x = 7,012,679.11/3,344.96
  6. Step 6: Final answer
    x = 2,096.49

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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.