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Finding the Fourth Proportional to 3,673.82, 5,070.50 and 2,182.55

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Solution

The fourth proportional to 3,673.82, 5,070.50 and 2,182.55 is: 3,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.82 : 5,070.50 = 2,182.55 : x
  2. Step 2: Convert to fraction form
    3,673.82/5,070.50 = 2,182.55/x
  3. Step 3: Cross multiply
    3,673.82x = 5,070.50 × 2,182.55
  4. Step 4: Simplify right side
    3,673.82x = 11,066,591.69
  5. Step 5: Solve for x
    x = 11,066,591.69/3,673.82
  6. Step 6: Final answer
    x = 3,012.28

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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.