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Finding the Fourth Proportional to 3,605.67, 4,975.56 and 2,092.14

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Solution

The fourth proportional to 3,605.67, 4,975.56 and 2,092.14 is: 2,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.67 : 4,975.56 = 2,092.14 : x
  2. Step 2: Convert to fraction form
    3,605.67/4,975.56 = 2,092.14/x
  3. Step 3: Cross multiply
    3,605.67x = 4,975.56 × 2,092.14
  4. Step 4: Simplify right side
    3,605.67x = 10,409,568.10
  5. Step 5: Solve for x
    x = 10,409,568.10/3,605.67
  6. Step 6: Final answer
    x = 2,887.00

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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.