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Finding the Fourth Proportional to 4,768.85, 6,579.94 and 2,880.74

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Solution

The fourth proportional to 4,768.85, 6,579.94 and 2,880.74 is: 3,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.85 : 6,579.94 = 2,880.74 : x
  2. Step 2: Convert to fraction form
    4,768.85/6,579.94 = 2,880.74/x
  3. Step 3: Cross multiply
    4,768.85x = 6,579.94 × 2,880.74
  4. Step 4: Simplify right side
    4,768.85x = 18,955,096.36
  5. Step 5: Solve for x
    x = 18,955,096.36/4,768.85
  6. Step 6: Final answer
    x = 3,974.77

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1.5x scale

Why These Related Problems?

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