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Finding the Fourth Proportional to 3,580.50, 5,370.53 and 1,114.97

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Solution

The fourth proportional to 3,580.50, 5,370.53 and 1,114.97 is: 1,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.50 : 5,370.53 = 1,114.97 : x
  2. Step 2: Convert to fraction form
    3,580.50/5,370.53 = 1,114.97/x
  3. Step 3: Cross multiply
    3,580.50x = 5,370.53 × 1,114.97
  4. Step 4: Simplify right side
    3,580.50x = 5,987,979.83
  5. Step 5: Solve for x
    x = 5,987,979.83/3,580.50
  6. Step 6: Final answer
    x = 1,672.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.