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Finding the Fourth Proportional to 3,684.69, 5,085.05 and 2,173.10

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Solution

The fourth proportional to 3,684.69, 5,085.05 and 2,173.10 is: 2,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.69 : 5,085.05 = 2,173.10 : x
  2. Step 2: Convert to fraction form
    3,684.69/5,085.05 = 2,173.10/x
  3. Step 3: Cross multiply
    3,684.69x = 5,085.05 × 2,173.10
  4. Step 4: Simplify right side
    3,684.69x = 11,050,285.86
  5. Step 5: Solve for x
    x = 11,050,285.86/3,684.69
  6. Step 6: Final answer
    x = 2,998.97

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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.