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Finding the Fourth Proportional to 3,605.14, 4,974.43 and 2,113.08

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Solution

The fourth proportional to 3,605.14, 4,974.43 and 2,113.08 is: 2,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.14 : 4,974.43 = 2,113.08 : x
  2. Step 2: Convert to fraction form
    3,605.14/4,974.43 = 2,113.08/x
  3. Step 3: Cross multiply
    3,605.14x = 4,974.43 × 2,113.08
  4. Step 4: Simplify right side
    3,605.14x = 10,511,368.54
  5. Step 5: Solve for x
    x = 10,511,368.54/3,605.14
  6. Step 6: Final answer
    x = 2,915.66

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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.