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Finding the Fourth Proportional to 4,193.06, 6,289.65 and 2,115.68

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Solution

The fourth proportional to 4,193.06, 6,289.65 and 2,115.68 is: 3,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.06 : 6,289.65 = 2,115.68 : x
  2. Step 2: Convert to fraction form
    4,193.06/6,289.65 = 2,115.68/x
  3. Step 3: Cross multiply
    4,193.06x = 6,289.65 × 2,115.68
  4. Step 4: Simplify right side
    4,193.06x = 13,306,855.26
  5. Step 5: Solve for x
    x = 13,306,855.26/4,193.06
  6. Step 6: Final answer
    x = 3,173.55

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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.