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Finding the Fourth Proportional to 3,403, 5,104.68 and 937.77

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Solution

The fourth proportional to 3,403, 5,104.68 and 937.77 is: 1,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403 : 5,104.68 = 937.77 : x
  2. Step 2: Convert to fraction form
    3,403/5,104.68 = 937.77/x
  3. Step 3: Cross multiply
    3,403x = 5,104.68 × 937.77
  4. Step 4: Simplify right side
    3,403x = 4,787,015.76
  5. Step 5: Solve for x
    x = 4,787,015.76/3,403
  6. Step 6: Final answer
    x = 1,406.70

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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.