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Finding the Fourth Proportional to 3,768.62, 5,646.83 and 2,303.33

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Solution

The fourth proportional to 3,768.62, 5,646.83 and 2,303.33 is: 3,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.62 : 5,646.83 = 2,303.33 : x
  2. Step 2: Convert to fraction form
    3,768.62/5,646.83 = 2,303.33/x
  3. Step 3: Cross multiply
    3,768.62x = 5,646.83 × 2,303.33
  4. Step 4: Simplify right side
    3,768.62x = 13,006,473.19
  5. Step 5: Solve for x
    x = 13,006,473.19/3,768.62
  6. Step 6: Final answer
    x = 3,451.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.