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Finding the Fourth Proportional to 3,794.80, 5,682.25 and 3,050.45

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Solution

The fourth proportional to 3,794.80, 5,682.25 and 3,050.45 is: 4,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.80 : 5,682.25 = 3,050.45 : x
  2. Step 2: Convert to fraction form
    3,794.80/5,682.25 = 3,050.45/x
  3. Step 3: Cross multiply
    3,794.80x = 5,682.25 × 3,050.45
  4. Step 4: Simplify right side
    3,794.80x = 17,333,419.51
  5. Step 5: Solve for x
    x = 17,333,419.51/3,794.80
  6. Step 6: Final answer
    x = 4,567.68

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