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Finding the Fourth Proportional to 3,755, 5,628.72 and 1,564.94

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Solution

The fourth proportional to 3,755, 5,628.72 and 1,564.94 is: 2,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755 : 5,628.72 = 1,564.94 : x
  2. Step 2: Convert to fraction form
    3,755/5,628.72 = 1,564.94/x
  3. Step 3: Cross multiply
    3,755x = 5,628.72 × 1,564.94
  4. Step 4: Simplify right side
    3,755x = 8,808,609.08
  5. Step 5: Solve for x
    x = 8,808,609.08/3,755
  6. Step 6: Final answer
    x = 2,345.83

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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.