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Finding the Fourth Proportional to 3,675.09, 5,512.68 and 1,078.08

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Solution

The fourth proportional to 3,675.09, 5,512.68 and 1,078.08 is: 1,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.09 : 5,512.68 = 1,078.08 : x
  2. Step 2: Convert to fraction form
    3,675.09/5,512.68 = 1,078.08/x
  3. Step 3: Cross multiply
    3,675.09x = 5,512.68 × 1,078.08
  4. Step 4: Simplify right side
    3,675.09x = 5,943,079.80
  5. Step 5: Solve for x
    x = 5,943,079.80/3,675.09
  6. Step 6: Final answer
    x = 1,617.13

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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.