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Finding the Fourth Proportional to 3,771.68, 5,204.98 and 2,070.33

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Solution

The fourth proportional to 3,771.68, 5,204.98 and 2,070.33 is: 2,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.68 : 5,204.98 = 2,070.33 : x
  2. Step 2: Convert to fraction form
    3,771.68/5,204.98 = 2,070.33/x
  3. Step 3: Cross multiply
    3,771.68x = 5,204.98 × 2,070.33
  4. Step 4: Simplify right side
    3,771.68x = 10,775,989.87
  5. Step 5: Solve for x
    x = 10,775,989.87/3,771.68
  6. Step 6: Final answer
    x = 2,857.08

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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.