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Finding the Fourth Proportional to 3,902.26, 5,803.22 and 3,779.23

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Solution

The fourth proportional to 3,902.26, 5,803.22 and 3,779.23 is: 5,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.26 : 5,803.22 = 3,779.23 : x
  2. Step 2: Convert to fraction form
    3,902.26/5,803.22 = 3,779.23/x
  3. Step 3: Cross multiply
    3,902.26x = 5,803.22 × 3,779.23
  4. Step 4: Simplify right side
    3,902.26x = 21,931,703.12
  5. Step 5: Solve for x
    x = 21,931,703.12/3,902.26
  6. Step 6: Final answer
    x = 5,620.26

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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.