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Finding the Fourth Proportional to 3,678.85, 5,069.68 and 3,050.29

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Solution

The fourth proportional to 3,678.85, 5,069.68 and 3,050.29 is: 4,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.85 : 5,069.68 = 3,050.29 : x
  2. Step 2: Convert to fraction form
    3,678.85/5,069.68 = 3,050.29/x
  3. Step 3: Cross multiply
    3,678.85x = 5,069.68 × 3,050.29
  4. Step 4: Simplify right side
    3,678.85x = 15,463,994.21
  5. Step 5: Solve for x
    x = 15,463,994.21/3,678.85
  6. Step 6: Final answer
    x = 4,203.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.