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Finding the Fourth Proportional to 3,675.53, 5,514.09 and 1,210.23

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Solution

The fourth proportional to 3,675.53, 5,514.09 and 1,210.23 is: 1,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.53 : 5,514.09 = 1,210.23 : x
  2. Step 2: Convert to fraction form
    3,675.53/5,514.09 = 1,210.23/x
  3. Step 3: Cross multiply
    3,675.53x = 5,514.09 × 1,210.23
  4. Step 4: Simplify right side
    3,675.53x = 6,673,317.14
  5. Step 5: Solve for x
    x = 6,673,317.14/3,675.53
  6. Step 6: Final answer
    x = 1,815.61

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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.