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Finding the Fourth Proportional to 4,446.84, 6,138.84 and 3,037.84

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Solution

The fourth proportional to 4,446.84, 6,138.84 and 3,037.84 is: 4,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.84 : 6,138.84 = 3,037.84 : x
  2. Step 2: Convert to fraction form
    4,446.84/6,138.84 = 3,037.84/x
  3. Step 3: Cross multiply
    4,446.84x = 6,138.84 × 3,037.84
  4. Step 4: Simplify right side
    4,446.84x = 18,648,813.71
  5. Step 5: Solve for x
    x = 18,648,813.71/4,446.84
  6. Step 6: Final answer
    x = 4,193.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.