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Finding the Fourth Proportional to 4,189.64, 5,780.03 and 2,511.09

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Solution

The fourth proportional to 4,189.64, 5,780.03 and 2,511.09 is: 3,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.64 : 5,780.03 = 2,511.09 : x
  2. Step 2: Convert to fraction form
    4,189.64/5,780.03 = 2,511.09/x
  3. Step 3: Cross multiply
    4,189.64x = 5,780.03 × 2,511.09
  4. Step 4: Simplify right side
    4,189.64x = 14,514,162.98
  5. Step 5: Solve for x
    x = 14,514,162.98/4,189.64
  6. Step 6: Final answer
    x = 3,464.30

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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.