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Finding the Fourth Proportional to 3,403.42, 5,104.47 and 937.63

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Solution

The fourth proportional to 3,403.42, 5,104.47 and 937.63 is: 1,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.42 : 5,104.47 = 937.63 : x
  2. Step 2: Convert to fraction form
    3,403.42/5,104.47 = 937.63/x
  3. Step 3: Cross multiply
    3,403.42x = 5,104.47 × 937.63
  4. Step 4: Simplify right side
    3,403.42x = 4,786,104.21
  5. Step 5: Solve for x
    x = 4,786,104.21/3,403.42
  6. Step 6: Final answer
    x = 1,406.26

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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.