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Finding the Fourth Proportional to 5,175.67, 7,764.81 and 1,477.91

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Solution

The fourth proportional to 5,175.67, 7,764.81 and 1,477.91 is: 2,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.67 : 7,764.81 = 1,477.91 : x
  2. Step 2: Convert to fraction form
    5,175.67/7,764.81 = 1,477.91/x
  3. Step 3: Cross multiply
    5,175.67x = 7,764.81 × 1,477.91
  4. Step 4: Simplify right side
    5,175.67x = 11,475,644.13
  5. Step 5: Solve for x
    x = 11,475,644.13/5,175.67
  6. Step 6: Final answer
    x = 2,217.23

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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.