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Finding the Fourth Proportional to 3,706.25, 5,085.39 and 3,671.42

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Solution

The fourth proportional to 3,706.25, 5,085.39 and 3,671.42 is: 5,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.25 : 5,085.39 = 3,671.42 : x
  2. Step 2: Convert to fraction form
    3,706.25/5,085.39 = 3,671.42/x
  3. Step 3: Cross multiply
    3,706.25x = 5,085.39 × 3,671.42
  4. Step 4: Simplify right side
    3,706.25x = 18,670,577.13
  5. Step 5: Solve for x
    x = 18,670,577.13/3,706.25
  6. Step 6: Final answer
    x = 5,037.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.