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Finding the Fourth Proportional to 4,231.86, 6,341.64 and 3,001.68

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Solution

The fourth proportional to 4,231.86, 6,341.64 and 3,001.68 is: 4,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.86 : 6,341.64 = 3,001.68 : x
  2. Step 2: Convert to fraction form
    4,231.86/6,341.64 = 3,001.68/x
  3. Step 3: Cross multiply
    4,231.86x = 6,341.64 × 3,001.68
  4. Step 4: Simplify right side
    4,231.86x = 19,035,573.96
  5. Step 5: Solve for x
    x = 19,035,573.96/4,231.86
  6. Step 6: Final answer
    x = 4,498.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.