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Finding the Fourth Proportional to 4,049.67, 6,074.11 and 1,416.69

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Solution

The fourth proportional to 4,049.67, 6,074.11 and 1,416.69 is: 2,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.67 : 6,074.11 = 1,416.69 : x
  2. Step 2: Convert to fraction form
    4,049.67/6,074.11 = 1,416.69/x
  3. Step 3: Cross multiply
    4,049.67x = 6,074.11 × 1,416.69
  4. Step 4: Simplify right side
    4,049.67x = 8,605,130.90
  5. Step 5: Solve for x
    x = 8,605,130.90/4,049.67
  6. Step 6: Final answer
    x = 2,124.90

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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.