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Finding the Fourth Proportional to 3,588.87, 5,383.09 and 1,507.78

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Solution

The fourth proportional to 3,588.87, 5,383.09 and 1,507.78 is: 2,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.87 : 5,383.09 = 1,507.78 : x
  2. Step 2: Convert to fraction form
    3,588.87/5,383.09 = 1,507.78/x
  3. Step 3: Cross multiply
    3,588.87x = 5,383.09 × 1,507.78
  4. Step 4: Simplify right side
    3,588.87x = 8,116,524.05
  5. Step 5: Solve for x
    x = 8,116,524.05/3,588.87
  6. Step 6: Final answer
    x = 2,261.58

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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.