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Finding the Fourth Proportional to 3,403.40, 5,104.63 and 937.86

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Solution

The fourth proportional to 3,403.40, 5,104.63 and 937.86 is: 1,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.40 : 5,104.63 = 937.86 : x
  2. Step 2: Convert to fraction form
    3,403.40/5,104.63 = 937.86/x
  3. Step 3: Cross multiply
    3,403.40x = 5,104.63 × 937.86
  4. Step 4: Simplify right side
    3,403.40x = 4,787,425.95
  5. Step 5: Solve for x
    x = 4,787,425.95/3,403.40
  6. Step 6: Final answer
    x = 1,406.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.