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Finding the Fourth Proportional to 3,684.07, 5,084 and 2,113.07

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Solution

The fourth proportional to 3,684.07, 5,084 and 2,113.07 is: 2,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.07 : 5,084 = 2,113.07 : x
  2. Step 2: Convert to fraction form
    3,684.07/5,084 = 2,113.07/x
  3. Step 3: Cross multiply
    3,684.07x = 5,084 × 2,113.07
  4. Step 4: Simplify right side
    3,684.07x = 10,742,847.88
  5. Step 5: Solve for x
    x = 10,742,847.88/3,684.07
  6. Step 6: Final answer
    x = 2,916.03

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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.