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Finding the Fourth Proportional to 3,755.33, 5,633.03 and 1,564.05

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Solution

The fourth proportional to 3,755.33, 5,633.03 and 1,564.05 is: 2,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.33 : 5,633.03 = 1,564.05 : x
  2. Step 2: Convert to fraction form
    3,755.33/5,633.03 = 1,564.05/x
  3. Step 3: Cross multiply
    3,755.33x = 5,633.03 × 1,564.05
  4. Step 4: Simplify right side
    3,755.33x = 8,810,340.57
  5. Step 5: Solve for x
    x = 8,810,340.57/3,755.33
  6. Step 6: Final answer
    x = 2,346.09

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1.5x scale

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.