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Finding the Fourth Proportional to 5,948.78, 8,202.38 and 4,826.21

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Solution

The fourth proportional to 5,948.78, 8,202.38 and 4,826.21 is: 6,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.78 : 8,202.38 = 4,826.21 : x
  2. Step 2: Convert to fraction form
    5,948.78/8,202.38 = 4,826.21/x
  3. Step 3: Cross multiply
    5,948.78x = 8,202.38 × 4,826.21
  4. Step 4: Simplify right side
    5,948.78x = 39,586,343.24
  5. Step 5: Solve for x
    x = 39,586,343.24/5,948.78
  6. Step 6: Final answer
    x = 6,654.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.