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Finding the Fourth Proportional to 3,817.34, 5,696.70 and 3,795.44

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Solution

The fourth proportional to 3,817.34, 5,696.70 and 3,795.44 is: 5,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.34 : 5,696.70 = 3,795.44 : x
  2. Step 2: Convert to fraction form
    3,817.34/5,696.70 = 3,795.44/x
  3. Step 3: Cross multiply
    3,817.34x = 5,696.70 × 3,795.44
  4. Step 4: Simplify right side
    3,817.34x = 21,621,483.05
  5. Step 5: Solve for x
    x = 21,621,483.05/3,817.34
  6. Step 6: Final answer
    x = 5,664.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.