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Finding the Fourth Proportional to 4,673, 6,448.74 and 2,577.26

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Solution

The fourth proportional to 4,673, 6,448.74 and 2,577.26 is: 3,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673 : 6,448.74 = 2,577.26 : x
  2. Step 2: Convert to fraction form
    4,673/6,448.74 = 2,577.26/x
  3. Step 3: Cross multiply
    4,673x = 6,448.74 × 2,577.26
  4. Step 4: Simplify right side
    4,673x = 16,620,079.65
  5. Step 5: Solve for x
    x = 16,620,079.65/4,673
  6. Step 6: Final answer
    x = 3,556.62

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