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Finding the Fourth Proportional to 3,186.86, 4,779.41 and 2,259.68

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Solution

The fourth proportional to 3,186.86, 4,779.41 and 2,259.68 is: 3,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.86 : 4,779.41 = 2,259.68 : x
  2. Step 2: Convert to fraction form
    3,186.86/4,779.41 = 2,259.68/x
  3. Step 3: Cross multiply
    3,186.86x = 4,779.41 × 2,259.68
  4. Step 4: Simplify right side
    3,186.86x = 10,799,901.99
  5. Step 5: Solve for x
    x = 10,799,901.99/3,186.86
  6. Step 6: Final answer
    x = 3,388.89

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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.