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Finding the Fourth Proportional to 3,784.66, 5,222.81 and 2,106.14

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Solution

The fourth proportional to 3,784.66, 5,222.81 and 2,106.14 is: 2,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.66 : 5,222.81 = 2,106.14 : x
  2. Step 2: Convert to fraction form
    3,784.66/5,222.81 = 2,106.14/x
  3. Step 3: Cross multiply
    3,784.66x = 5,222.81 × 2,106.14
  4. Step 4: Simplify right side
    3,784.66x = 10,999,948.20
  5. Step 5: Solve for x
    x = 10,999,948.20/3,784.66
  6. Step 6: Final answer
    x = 2,906.46

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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.