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Finding the Fourth Proportional to 3,754.62, 5,628.89 and 1,564.99

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Solution

The fourth proportional to 3,754.62, 5,628.89 and 1,564.99 is: 2,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.62 : 5,628.89 = 1,564.99 : x
  2. Step 2: Convert to fraction form
    3,754.62/5,628.89 = 1,564.99/x
  3. Step 3: Cross multiply
    3,754.62x = 5,628.89 × 1,564.99
  4. Step 4: Simplify right side
    3,754.62x = 8,809,146.40
  5. Step 5: Solve for x
    x = 8,809,146.40/3,754.62
  6. Step 6: Final answer
    x = 2,346.22

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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.