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Finding the Fourth Proportional to 4,672.89, 6,448.57 and 2,577.01

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Solution

The fourth proportional to 4,672.89, 6,448.57 and 2,577.01 is: 3,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.89 : 6,448.57 = 2,577.01 : x
  2. Step 2: Convert to fraction form
    4,672.89/6,448.57 = 2,577.01/x
  3. Step 3: Cross multiply
    4,672.89x = 6,448.57 × 2,577.01
  4. Step 4: Simplify right side
    4,672.89x = 16,618,029.38
  5. Step 5: Solve for x
    x = 16,618,029.38/4,672.89
  6. Step 6: Final answer
    x = 3,556.26

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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.