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Finding the Fourth Proportional to 3,403.02, 5,104.07 and 937.49

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Solution

The fourth proportional to 3,403.02, 5,104.07 and 937.49 is: 1,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.02 : 5,104.07 = 937.49 : x
  2. Step 2: Convert to fraction form
    3,403.02/5,104.07 = 937.49/x
  3. Step 3: Cross multiply
    3,403.02x = 5,104.07 × 937.49
  4. Step 4: Simplify right side
    3,403.02x = 4,784,984.38
  5. Step 5: Solve for x
    x = 4,784,984.38/3,403.02
  6. Step 6: Final answer
    x = 1,406.10

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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.