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Finding the Fourth Proportional to 4,074.24, 6,124.16 and 3,869.44

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Solution

The fourth proportional to 4,074.24, 6,124.16 and 3,869.44 is: 5,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.24 : 6,124.16 = 3,869.44 : x
  2. Step 2: Convert to fraction form
    4,074.24/6,124.16 = 3,869.44/x
  3. Step 3: Cross multiply
    4,074.24x = 6,124.16 × 3,869.44
  4. Step 4: Simplify right side
    4,074.24x = 23,697,069.67
  5. Step 5: Solve for x
    x = 23,697,069.67/4,074.24
  6. Step 6: Final answer
    x = 5,816.32

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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.