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Finding the Fourth Proportional to 5,886, 8,823.04 and 3,696.28

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Solution

The fourth proportional to 5,886, 8,823.04 and 3,696.28 is: 5,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886 : 8,823.04 = 3,696.28 : x
  2. Step 2: Convert to fraction form
    5,886/8,823.04 = 3,696.28/x
  3. Step 3: Cross multiply
    5,886x = 8,823.04 × 3,696.28
  4. Step 4: Simplify right side
    5,886x = 32,612,426.29
  5. Step 5: Solve for x
    x = 32,612,426.29/5,886
  6. Step 6: Final answer
    x = 5,540.68

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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.