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Finding the Fourth Proportional to 4,577.64, 6,317.13 and 2,481.75

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Solution

The fourth proportional to 4,577.64, 6,317.13 and 2,481.75 is: 3,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.64 : 6,317.13 = 2,481.75 : x
  2. Step 2: Convert to fraction form
    4,577.64/6,317.13 = 2,481.75/x
  3. Step 3: Cross multiply
    4,577.64x = 6,317.13 × 2,481.75
  4. Step 4: Simplify right side
    4,577.64x = 15,677,537.38
  5. Step 5: Solve for x
    x = 15,677,537.38/4,577.64
  6. Step 6: Final answer
    x = 3,424.81

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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.