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Finding the Fourth Proportional to 5,626.23, 7,763.73 and 3,236.08

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Solution

The fourth proportional to 5,626.23, 7,763.73 and 3,236.08 is: 4,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.23 : 7,763.73 = 3,236.08 : x
  2. Step 2: Convert to fraction form
    5,626.23/7,763.73 = 3,236.08/x
  3. Step 3: Cross multiply
    5,626.23x = 7,763.73 × 3,236.08
  4. Step 4: Simplify right side
    5,626.23x = 25,124,051.38
  5. Step 5: Solve for x
    x = 25,124,051.38/5,626.23
  6. Step 6: Final answer
    x = 4,465.52

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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.