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Finding the Fourth Proportional to 3,580.81, 4,941.56 and 2,164.57

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Solution

The fourth proportional to 3,580.81, 4,941.56 and 2,164.57 is: 2,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.81 : 4,941.56 = 2,164.57 : x
  2. Step 2: Convert to fraction form
    3,580.81/4,941.56 = 2,164.57/x
  3. Step 3: Cross multiply
    3,580.81x = 4,941.56 × 2,164.57
  4. Step 4: Simplify right side
    3,580.81x = 10,696,361.21
  5. Step 5: Solve for x
    x = 10,696,361.21/3,580.81
  6. Step 6: Final answer
    x = 2,987.14

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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.