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Finding the Fourth Proportional to 4,175, 5,762.14 and 2,519.96

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Solution

The fourth proportional to 4,175, 5,762.14 and 2,519.96 is: 3,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175 : 5,762.14 = 2,519.96 : x
  2. Step 2: Convert to fraction form
    4,175/5,762.14 = 2,519.96/x
  3. Step 3: Cross multiply
    4,175x = 5,762.14 × 2,519.96
  4. Step 4: Simplify right side
    4,175x = 14,520,362.31
  5. Step 5: Solve for x
    x = 14,520,362.31/4,175
  6. Step 6: Final answer
    x = 3,477.93

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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.