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Finding the Fourth Proportional to 4,135.96, 5,718.83 and 4,069.19

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Solution

The fourth proportional to 4,135.96, 5,718.83 and 4,069.19 is: 5,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.96 : 5,718.83 = 4,069.19 : x
  2. Step 2: Convert to fraction form
    4,135.96/5,718.83 = 4,069.19/x
  3. Step 3: Cross multiply
    4,135.96x = 5,718.83 × 4,069.19
  4. Step 4: Simplify right side
    4,135.96x = 23,271,005.85
  5. Step 5: Solve for x
    x = 23,271,005.85/4,135.96
  6. Step 6: Final answer
    x = 5,626.51

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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.