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Finding the Fourth Proportional to 3,515.58, 5,273.37 and 1,543.14

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Solution

The fourth proportional to 3,515.58, 5,273.37 and 1,543.14 is: 2,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.58 : 5,273.37 = 1,543.14 : x
  2. Step 2: Convert to fraction form
    3,515.58/5,273.37 = 1,543.14/x
  3. Step 3: Cross multiply
    3,515.58x = 5,273.37 × 1,543.14
  4. Step 4: Simplify right side
    3,515.58x = 8,137,548.18
  5. Step 5: Solve for x
    x = 8,137,548.18/3,515.58
  6. Step 6: Final answer
    x = 2,314.71

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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.