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Finding the Fourth Proportional to 3,769.50, 5,648.85 and 1,658.58

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Solution

The fourth proportional to 3,769.50, 5,648.85 and 1,658.58 is: 2,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.50 : 5,648.85 = 1,658.58 : x
  2. Step 2: Convert to fraction form
    3,769.50/5,648.85 = 1,658.58/x
  3. Step 3: Cross multiply
    3,769.50x = 5,648.85 × 1,658.58
  4. Step 4: Simplify right side
    3,769.50x = 9,369,069.63
  5. Step 5: Solve for x
    x = 9,369,069.63/3,769.50
  6. Step 6: Final answer
    x = 2,485.49

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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.