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Finding the Fourth Proportional to 5,175.50, 7,763.18 and 1,477.71

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Solution

The fourth proportional to 5,175.50, 7,763.18 and 1,477.71 is: 2,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.50 : 7,763.18 = 1,477.71 : x
  2. Step 2: Convert to fraction form
    5,175.50/7,763.18 = 1,477.71/x
  3. Step 3: Cross multiply
    5,175.50x = 7,763.18 × 1,477.71
  4. Step 4: Simplify right side
    5,175.50x = 11,471,721.33
  5. Step 5: Solve for x
    x = 11,471,721.33/5,175.50
  6. Step 6: Final answer
    x = 2,216.55

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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.