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Finding the Fourth Proportional to 3,731.57, 5,122.09 and 3,302.57

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Solution

The fourth proportional to 3,731.57, 5,122.09 and 3,302.57 is: 4,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.57 : 5,122.09 = 3,302.57 : x
  2. Step 2: Convert to fraction form
    3,731.57/5,122.09 = 3,302.57/x
  3. Step 3: Cross multiply
    3,731.57x = 5,122.09 × 3,302.57
  4. Step 4: Simplify right side
    3,731.57x = 16,916,059.13
  5. Step 5: Solve for x
    x = 16,916,059.13/3,731.57
  6. Step 6: Final answer
    x = 4,533.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.