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Finding the Fourth Proportional to 4,297.78, 5,928.81 and 2,706.40

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Solution

The fourth proportional to 4,297.78, 5,928.81 and 2,706.40 is: 3,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.78 : 5,928.81 = 2,706.40 : x
  2. Step 2: Convert to fraction form
    4,297.78/5,928.81 = 2,706.40/x
  3. Step 3: Cross multiply
    4,297.78x = 5,928.81 × 2,706.40
  4. Step 4: Simplify right side
    4,297.78x = 16,045,731.38
  5. Step 5: Solve for x
    x = 16,045,731.38/4,297.78
  6. Step 6: Final answer
    x = 3,733.49

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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.