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Finding the Fourth Proportional to 5,062.85, 6,986.42 and 2,824.88

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Solution

The fourth proportional to 5,062.85, 6,986.42 and 2,824.88 is: 3,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.85 : 6,986.42 = 2,824.88 : x
  2. Step 2: Convert to fraction form
    5,062.85/6,986.42 = 2,824.88/x
  3. Step 3: Cross multiply
    5,062.85x = 6,986.42 × 2,824.88
  4. Step 4: Simplify right side
    5,062.85x = 19,735,749.07
  5. Step 5: Solve for x
    x = 19,735,749.07/5,062.85
  6. Step 6: Final answer
    x = 3,898.15

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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.