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Finding the Fourth Proportional to 3,518.72, 5,278.07 and 1,053.54

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Solution

The fourth proportional to 3,518.72, 5,278.07 and 1,053.54 is: 1,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.72 : 5,278.07 = 1,053.54 : x
  2. Step 2: Convert to fraction form
    3,518.72/5,278.07 = 1,053.54/x
  3. Step 3: Cross multiply
    3,518.72x = 5,278.07 × 1,053.54
  4. Step 4: Simplify right side
    3,518.72x = 5,560,657.87
  5. Step 5: Solve for x
    x = 5,560,657.87/3,518.72
  6. Step 6: Final answer
    x = 1,580.31

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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.