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Finding the Fourth Proportional to 3,706.94, 5,116.02 and 2,135

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Solution

The fourth proportional to 3,706.94, 5,116.02 and 2,135 is: 2,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.94 : 5,116.02 = 2,135 : x
  2. Step 2: Convert to fraction form
    3,706.94/5,116.02 = 2,135/x
  3. Step 3: Cross multiply
    3,706.94x = 5,116.02 × 2,135
  4. Step 4: Simplify right side
    3,706.94x = 10,922,702.70
  5. Step 5: Solve for x
    x = 10,922,702.70/3,706.94
  6. Step 6: Final answer
    x = 2,946.56

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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.