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Finding the Fourth Proportional to 4,767.84, 6,579.30 and 2,778.48

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Solution

The fourth proportional to 4,767.84, 6,579.30 and 2,778.48 is: 3,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.84 : 6,579.30 = 2,778.48 : x
  2. Step 2: Convert to fraction form
    4,767.84/6,579.30 = 2,778.48/x
  3. Step 3: Cross multiply
    4,767.84x = 6,579.30 × 2,778.48
  4. Step 4: Simplify right side
    4,767.84x = 18,280,453.46
  5. Step 5: Solve for x
    x = 18,280,453.46/4,767.84
  6. Step 6: Final answer
    x = 3,834.12

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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.