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Finding the Fourth Proportional to 4,228.84, 6,339.42 and 2,401

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Solution

The fourth proportional to 4,228.84, 6,339.42 and 2,401 is: 3,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.84 : 6,339.42 = 2,401 : x
  2. Step 2: Convert to fraction form
    4,228.84/6,339.42 = 2,401/x
  3. Step 3: Cross multiply
    4,228.84x = 6,339.42 × 2,401
  4. Step 4: Simplify right side
    4,228.84x = 15,220,947.42
  5. Step 5: Solve for x
    x = 15,220,947.42/4,228.84
  6. Step 6: Final answer
    x = 3,599.32

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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.