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Finding the Fourth Proportional to 4,670.82, 6,448.97 and 2,903.22

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Solution

The fourth proportional to 4,670.82, 6,448.97 and 2,903.22 is: 4,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.82 : 6,448.97 = 2,903.22 : x
  2. Step 2: Convert to fraction form
    4,670.82/6,448.97 = 2,903.22/x
  3. Step 3: Cross multiply
    4,670.82x = 6,448.97 × 2,903.22
  4. Step 4: Simplify right side
    4,670.82x = 18,722,778.68
  5. Step 5: Solve for x
    x = 18,722,778.68/4,670.82
  6. Step 6: Final answer
    x = 4,008.46

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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.