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Finding the Fourth Proportional to 3,650.79, 5,476.23 and 1,053.75

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Solution

The fourth proportional to 3,650.79, 5,476.23 and 1,053.75 is: 1,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.79 : 5,476.23 = 1,053.75 : x
  2. Step 2: Convert to fraction form
    3,650.79/5,476.23 = 1,053.75/x
  3. Step 3: Cross multiply
    3,650.79x = 5,476.23 × 1,053.75
  4. Step 4: Simplify right side
    3,650.79x = 5,770,577.36
  5. Step 5: Solve for x
    x = 5,770,577.36/3,650.79
  6. Step 6: Final answer
    x = 1,580.64

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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.