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Finding the Fourth Proportional to 3,866.67, 5,802.57 and 1,675.62

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Solution

The fourth proportional to 3,866.67, 5,802.57 and 1,675.62 is: 2,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.67 : 5,802.57 = 1,675.62 : x
  2. Step 2: Convert to fraction form
    3,866.67/5,802.57 = 1,675.62/x
  3. Step 3: Cross multiply
    3,866.67x = 5,802.57 × 1,675.62
  4. Step 4: Simplify right side
    3,866.67x = 9,722,902.34
  5. Step 5: Solve for x
    x = 9,722,902.34/3,866.67
  6. Step 6: Final answer
    x = 2,514.54

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1.5x scale

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.