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Finding the Fourth Proportional to 5,862.12, 8,089.74 and 3,209.58

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Solution

The fourth proportional to 5,862.12, 8,089.74 and 3,209.58 is: 4,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.12 : 8,089.74 = 3,209.58 : x
  2. Step 2: Convert to fraction form
    5,862.12/8,089.74 = 3,209.58/x
  3. Step 3: Cross multiply
    5,862.12x = 8,089.74 × 3,209.58
  4. Step 4: Simplify right side
    5,862.12x = 25,964,667.71
  5. Step 5: Solve for x
    x = 25,964,667.71/5,862.12
  6. Step 6: Final answer
    x = 4,429.23

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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.