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Finding the Fourth Proportional to 3,175.86, 4,764 and 1,095.96

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Solution

The fourth proportional to 3,175.86, 4,764 and 1,095.96 is: 1,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.86 : 4,764 = 1,095.96 : x
  2. Step 2: Convert to fraction form
    3,175.86/4,764 = 1,095.96/x
  3. Step 3: Cross multiply
    3,175.86x = 4,764 × 1,095.96
  4. Step 4: Simplify right side
    3,175.86x = 5,221,153.44
  5. Step 5: Solve for x
    x = 5,221,153.44/3,175.86
  6. Step 6: Final answer
    x = 1,644.01

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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.