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Finding the Fourth Proportional to 5,052, 6,971.76 and 2,844

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Solution

The fourth proportional to 5,052, 6,971.76 and 2,844 is: 3,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052 : 6,971.76 = 2,844 : x
  2. Step 2: Convert to fraction form
    5,052/6,971.76 = 2,844/x
  3. Step 3: Cross multiply
    5,052x = 6,971.76 × 2,844
  4. Step 4: Simplify right side
    5,052x = 19,827,685.44
  5. Step 5: Solve for x
    x = 19,827,685.44/5,052
  6. Step 6: Final answer
    x = 3,924.72

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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.