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Finding the Fourth Proportional to 5,971, 8,954.66 and 2,849.36

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Solution

The fourth proportional to 5,971, 8,954.66 and 2,849.36 is: 4,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971 : 8,954.66 = 2,849.36 : x
  2. Step 2: Convert to fraction form
    5,971/8,954.66 = 2,849.36/x
  3. Step 3: Cross multiply
    5,971x = 8,954.66 × 2,849.36
  4. Step 4: Simplify right side
    5,971x = 25,515,050.02
  5. Step 5: Solve for x
    x = 25,515,050.02/5,971
  6. Step 6: Final answer
    x = 4,273.16

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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.