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Finding the Fourth Proportional to 4,986.02, 7,480.14 and 1,523.54

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Solution

The fourth proportional to 4,986.02, 7,480.14 and 1,523.54 is: 2,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.02 : 7,480.14 = 1,523.54 : x
  2. Step 2: Convert to fraction form
    4,986.02/7,480.14 = 1,523.54/x
  3. Step 3: Cross multiply
    4,986.02x = 7,480.14 × 1,523.54
  4. Step 4: Simplify right side
    4,986.02x = 11,396,292.50
  5. Step 5: Solve for x
    x = 11,396,292.50/4,986.02
  6. Step 6: Final answer
    x = 2,285.65

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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.