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Finding the Fourth Proportional to 5,581.69, 8,405.96 and 5,083.46

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Solution

The fourth proportional to 5,581.69, 8,405.96 and 5,083.46 is: 7,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.69 : 8,405.96 = 5,083.46 : x
  2. Step 2: Convert to fraction form
    5,581.69/8,405.96 = 5,083.46/x
  3. Step 3: Cross multiply
    5,581.69x = 8,405.96 × 5,083.46
  4. Step 4: Simplify right side
    5,581.69x = 42,731,361.42
  5. Step 5: Solve for x
    x = 42,731,361.42/5,581.69
  6. Step 6: Final answer
    x = 7,655.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.