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Finding the Fourth Proportional to 3,403.72, 5,105.63 and 938.51

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Solution

The fourth proportional to 3,403.72, 5,105.63 and 938.51 is: 1,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.72 : 5,105.63 = 938.51 : x
  2. Step 2: Convert to fraction form
    3,403.72/5,105.63 = 938.51/x
  3. Step 3: Cross multiply
    3,403.72x = 5,105.63 × 938.51
  4. Step 4: Simplify right side
    3,403.72x = 4,791,684.81
  5. Step 5: Solve for x
    x = 4,791,684.81/3,403.72
  6. Step 6: Final answer
    x = 1,407.78

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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.