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Finding the Fourth Proportional to 3,602.49, 4,971.66 and 2,186.31

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Solution

The fourth proportional to 3,602.49, 4,971.66 and 2,186.31 is: 3,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.49 : 4,971.66 = 2,186.31 : x
  2. Step 2: Convert to fraction form
    3,602.49/4,971.66 = 2,186.31/x
  3. Step 3: Cross multiply
    3,602.49x = 4,971.66 × 2,186.31
  4. Step 4: Simplify right side
    3,602.49x = 10,869,589.97
  5. Step 5: Solve for x
    x = 10,869,589.97/3,602.49
  6. Step 6: Final answer
    x = 3,017.24

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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.