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Finding the Fourth Proportional to 3,754.70, 5,644.19 and 3,484.16

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Solution

The fourth proportional to 3,754.70, 5,644.19 and 3,484.16 is: 5,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.70 : 5,644.19 = 3,484.16 : x
  2. Step 2: Convert to fraction form
    3,754.70/5,644.19 = 3,484.16/x
  3. Step 3: Cross multiply
    3,754.70x = 5,644.19 × 3,484.16
  4. Step 4: Simplify right side
    3,754.70x = 19,665,215.39
  5. Step 5: Solve for x
    x = 19,665,215.39/3,754.70
  6. Step 6: Final answer
    x = 5,237.50

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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.