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Finding the Fourth Proportional to 5,357.90, 8,033.97 and 1,658.54

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Solution

The fourth proportional to 5,357.90, 8,033.97 and 1,658.54 is: 2,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.90 : 8,033.97 = 1,658.54 : x
  2. Step 2: Convert to fraction form
    5,357.90/8,033.97 = 1,658.54/x
  3. Step 3: Cross multiply
    5,357.90x = 8,033.97 × 1,658.54
  4. Step 4: Simplify right side
    5,357.90x = 13,324,660.60
  5. Step 5: Solve for x
    x = 13,324,660.60/5,357.90
  6. Step 6: Final answer
    x = 2,486.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.