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Finding the Fourth Proportional to 3,833.45, 5,290.64 and 2,341.05

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Solution

The fourth proportional to 3,833.45, 5,290.64 and 2,341.05 is: 3,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.45 : 5,290.64 = 2,341.05 : x
  2. Step 2: Convert to fraction form
    3,833.45/5,290.64 = 2,341.05/x
  3. Step 3: Cross multiply
    3,833.45x = 5,290.64 × 2,341.05
  4. Step 4: Simplify right side
    3,833.45x = 12,385,626.32
  5. Step 5: Solve for x
    x = 12,385,626.32/3,833.45
  6. Step 6: Final answer
    x = 3,230.94

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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.