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Finding the Fourth Proportional to 4,859.44, 6,706.83 and 3,678.46

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Solution

The fourth proportional to 4,859.44, 6,706.83 and 3,678.46 is: 5,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.44 : 6,706.83 = 3,678.46 : x
  2. Step 2: Convert to fraction form
    4,859.44/6,706.83 = 3,678.46/x
  3. Step 3: Cross multiply
    4,859.44x = 6,706.83 × 3,678.46
  4. Step 4: Simplify right side
    4,859.44x = 24,670,802.91
  5. Step 5: Solve for x
    x = 24,670,802.91/4,859.44
  6. Step 6: Final answer
    x = 5,076.88

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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.