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Finding the Fourth Proportional to 5,083.96, 7,627.29 and 1,573.81

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Solution

The fourth proportional to 5,083.96, 7,627.29 and 1,573.81 is: 2,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.96 : 7,627.29 = 1,573.81 : x
  2. Step 2: Convert to fraction form
    5,083.96/7,627.29 = 1,573.81/x
  3. Step 3: Cross multiply
    5,083.96x = 7,627.29 × 1,573.81
  4. Step 4: Simplify right side
    5,083.96x = 12,003,905.27
  5. Step 5: Solve for x
    x = 12,003,905.27/5,083.96
  6. Step 6: Final answer
    x = 2,361.13

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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.