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Finding the Fourth Proportional to 5,673.51, 8,511.89 and 4,115.07

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Solution

The fourth proportional to 5,673.51, 8,511.89 and 4,115.07 is: 6,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.51 : 8,511.89 = 4,115.07 : x
  2. Step 2: Convert to fraction form
    5,673.51/8,511.89 = 4,115.07/x
  3. Step 3: Cross multiply
    5,673.51x = 8,511.89 × 4,115.07
  4. Step 4: Simplify right side
    5,673.51x = 35,027,002.61
  5. Step 5: Solve for x
    x = 35,027,002.61/5,673.51
  6. Step 6: Final answer
    x = 6,173.78

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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.