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Finding the Fourth Proportional to 4,649.03, 6,416.31 and 3,231.93

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Solution

The fourth proportional to 4,649.03, 6,416.31 and 3,231.93 is: 4,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.03 : 6,416.31 = 3,231.93 : x
  2. Step 2: Convert to fraction form
    4,649.03/6,416.31 = 3,231.93/x
  3. Step 3: Cross multiply
    4,649.03x = 6,416.31 × 3,231.93
  4. Step 4: Simplify right side
    4,649.03x = 20,737,100.96
  5. Step 5: Solve for x
    x = 20,737,100.96/4,649.03
  6. Step 6: Final answer
    x = 4,460.52

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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.