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Finding the Fourth Proportional to 4,156.86, 6,208.34 and 3,766.08

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Solution

The fourth proportional to 4,156.86, 6,208.34 and 3,766.08 is: 5,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.86 : 6,208.34 = 3,766.08 : x
  2. Step 2: Convert to fraction form
    4,156.86/6,208.34 = 3,766.08/x
  3. Step 3: Cross multiply
    4,156.86x = 6,208.34 × 3,766.08
  4. Step 4: Simplify right side
    4,156.86x = 23,381,086.28
  5. Step 5: Solve for x
    x = 23,381,086.28/4,156.86
  6. Step 6: Final answer
    x = 5,624.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.