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Finding the Fourth Proportional to 5,849.28, 8,773.96 and 1,954

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Solution

The fourth proportional to 5,849.28, 8,773.96 and 1,954 is: 2,931.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.28 : 8,773.96 = 1,954 : x
  2. Step 2: Convert to fraction form
    5,849.28/8,773.96 = 1,954/x
  3. Step 3: Cross multiply
    5,849.28x = 8,773.96 × 1,954
  4. Step 4: Simplify right side
    5,849.28x = 17,144,317.84
  5. Step 5: Solve for x
    x = 17,144,317.84/5,849.28
  6. Step 6: Final answer
    x = 2,931.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.