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Finding the Fourth Proportional to 3,684.93, 5,085.32 and 2,006.40

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Solution

The fourth proportional to 3,684.93, 5,085.32 and 2,006.40 is: 2,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.93 : 5,085.32 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    3,684.93/5,085.32 = 2,006.40/x
  3. Step 3: Cross multiply
    3,684.93x = 5,085.32 × 2,006.40
  4. Step 4: Simplify right side
    3,684.93x = 10,203,176.02
  5. Step 5: Solve for x
    x = 10,203,176.02/3,684.93
  6. Step 6: Final answer
    x = 2,768.90

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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.