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Finding the Fourth Proportional to 4,074.79, 6,101.84 and 3,414.93

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Solution

The fourth proportional to 4,074.79, 6,101.84 and 3,414.93 is: 5,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.79 : 6,101.84 = 3,414.93 : x
  2. Step 2: Convert to fraction form
    4,074.79/6,101.84 = 3,414.93/x
  3. Step 3: Cross multiply
    4,074.79x = 6,101.84 × 3,414.93
  4. Step 4: Simplify right side
    4,074.79x = 20,837,356.47
  5. Step 5: Solve for x
    x = 20,837,356.47/4,074.79
  6. Step 6: Final answer
    x = 5,113.73

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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.