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Finding the Fourth Proportional to 4,175, 5,762.22 and 2,519

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Solution

The fourth proportional to 4,175, 5,762.22 and 2,519 is: 3,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175 : 5,762.22 = 2,519 : x
  2. Step 2: Convert to fraction form
    4,175/5,762.22 = 2,519/x
  3. Step 3: Cross multiply
    4,175x = 5,762.22 × 2,519
  4. Step 4: Simplify right side
    4,175x = 14,515,032.18
  5. Step 5: Solve for x
    x = 14,515,032.18/4,175
  6. Step 6: Final answer
    x = 3,476.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.