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Finding the Fourth Proportional to 3,805.41, 5,708.11 and 1,208.35

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Solution

The fourth proportional to 3,805.41, 5,708.11 and 1,208.35 is: 1,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.41 : 5,708.11 = 1,208.35 : x
  2. Step 2: Convert to fraction form
    3,805.41/5,708.11 = 1,208.35/x
  3. Step 3: Cross multiply
    3,805.41x = 5,708.11 × 1,208.35
  4. Step 4: Simplify right side
    3,805.41x = 6,897,394.72
  5. Step 5: Solve for x
    x = 6,897,394.72/3,805.41
  6. Step 6: Final answer
    x = 1,812.52

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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.