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Finding the Fourth Proportional to 3,805.29, 5,708.40 and 1,339.61

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Solution

The fourth proportional to 3,805.29, 5,708.40 and 1,339.61 is: 2,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.29 : 5,708.40 = 1,339.61 : x
  2. Step 2: Convert to fraction form
    3,805.29/5,708.40 = 1,339.61/x
  3. Step 3: Cross multiply
    3,805.29x = 5,708.40 × 1,339.61
  4. Step 4: Simplify right side
    3,805.29x = 7,646,996.16
  5. Step 5: Solve for x
    x = 7,646,996.16/3,805.29
  6. Step 6: Final answer
    x = 2,009.57

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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.