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Finding the Fourth Proportional to 5,052.96, 6,971.28 and 2,844.96

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Solution

The fourth proportional to 5,052.96, 6,971.28 and 2,844.96 is: 3,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.96 : 6,971.28 = 2,844.96 : x
  2. Step 2: Convert to fraction form
    5,052.96/6,971.28 = 2,844.96/x
  3. Step 3: Cross multiply
    5,052.96x = 6,971.28 × 2,844.96
  4. Step 4: Simplify right side
    5,052.96x = 19,833,012.75
  5. Step 5: Solve for x
    x = 19,833,012.75/5,052.96
  6. Step 6: Final answer
    x = 3,925.03

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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.