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Finding the Fourth Proportional to 5,862.09, 8,089.74 and 3,209.55

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Solution

The fourth proportional to 5,862.09, 8,089.74 and 3,209.55 is: 4,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.09 : 8,089.74 = 3,209.55 : x
  2. Step 2: Convert to fraction form
    5,862.09/8,089.74 = 3,209.55/x
  3. Step 3: Cross multiply
    5,862.09x = 8,089.74 × 3,209.55
  4. Step 4: Simplify right side
    5,862.09x = 25,964,425.02
  5. Step 5: Solve for x
    x = 25,964,425.02/5,862.09
  6. Step 6: Final answer
    x = 4,429.21

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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.