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Finding the Fourth Proportional to 4,923.90, 7,383.12 and 3,537.89

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Solution

The fourth proportional to 4,923.90, 7,383.12 and 3,537.89 is: 5,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.90 : 7,383.12 = 3,537.89 : x
  2. Step 2: Convert to fraction form
    4,923.90/7,383.12 = 3,537.89/x
  3. Step 3: Cross multiply
    4,923.90x = 7,383.12 × 3,537.89
  4. Step 4: Simplify right side
    4,923.90x = 26,120,629.50
  5. Step 5: Solve for x
    x = 26,120,629.50/4,923.90
  6. Step 6: Final answer
    x = 5,304.87

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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.