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Finding the Fourth Proportional to 3,543.75, 5,314.73 and 1,077.23

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Solution

The fourth proportional to 3,543.75, 5,314.73 and 1,077.23 is: 1,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.75 : 5,314.73 = 1,077.23 : x
  2. Step 2: Convert to fraction form
    3,543.75/5,314.73 = 1,077.23/x
  3. Step 3: Cross multiply
    3,543.75x = 5,314.73 × 1,077.23
  4. Step 4: Simplify right side
    3,543.75x = 5,725,154.64
  5. Step 5: Solve for x
    x = 5,725,154.64/3,543.75
  6. Step 6: Final answer
    x = 1,615.56

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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.