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Finding the Fourth Proportional to 5,741.39, 7,925.11 and 3,383.38

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Solution

The fourth proportional to 5,741.39, 7,925.11 and 3,383.38 is: 4,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.39 : 7,925.11 = 3,383.38 : x
  2. Step 2: Convert to fraction form
    5,741.39/7,925.11 = 3,383.38/x
  3. Step 3: Cross multiply
    5,741.39x = 7,925.11 × 3,383.38
  4. Step 4: Simplify right side
    5,741.39x = 26,813,619.05
  5. Step 5: Solve for x
    x = 26,813,619.05/5,741.39
  6. Step 6: Final answer
    x = 4,670.24

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Why These Related Problems?

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