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Finding the Fourth Proportional to 3,175.72, 4,758.35 and 1,094.59

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Solution

The fourth proportional to 3,175.72, 4,758.35 and 1,094.59 is: 1,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.72 : 4,758.35 = 1,094.59 : x
  2. Step 2: Convert to fraction form
    3,175.72/4,758.35 = 1,094.59/x
  3. Step 3: Cross multiply
    3,175.72x = 4,758.35 × 1,094.59
  4. Step 4: Simplify right side
    3,175.72x = 5,208,413.06
  5. Step 5: Solve for x
    x = 5,208,413.06/3,175.72
  6. Step 6: Final answer
    x = 1,640.08

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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.