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Finding the Fourth Proportional to 3,675.65, 5,514.08 and 1,484.06

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Solution

The fourth proportional to 3,675.65, 5,514.08 and 1,484.06 is: 2,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.65 : 5,514.08 = 1,484.06 : x
  2. Step 2: Convert to fraction form
    3,675.65/5,514.08 = 1,484.06/x
  3. Step 3: Cross multiply
    3,675.65x = 5,514.08 × 1,484.06
  4. Step 4: Simplify right side
    3,675.65x = 8,183,190.57
  5. Step 5: Solve for x
    x = 8,183,190.57/3,675.65
  6. Step 6: Final answer
    x = 2,226.33

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