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Finding the Fourth Proportional to 3,673.96, 5,070.18 and 2,182.06

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Solution

The fourth proportional to 3,673.96, 5,070.18 and 2,182.06 is: 3,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.96 : 5,070.18 = 2,182.06 : x
  2. Step 2: Convert to fraction form
    3,673.96/5,070.18 = 2,182.06/x
  3. Step 3: Cross multiply
    3,673.96x = 5,070.18 × 2,182.06
  4. Step 4: Simplify right side
    3,673.96x = 11,063,436.97
  5. Step 5: Solve for x
    x = 11,063,436.97/3,673.96
  6. Step 6: Final answer
    x = 3,011.31

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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.