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Finding the Fourth Proportional to 3,532.51, 5,300.70 and 1,193.23

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Solution

The fourth proportional to 3,532.51, 5,300.70 and 1,193.23 is: 1,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.51 : 5,300.70 = 1,193.23 : x
  2. Step 2: Convert to fraction form
    3,532.51/5,300.70 = 1,193.23/x
  3. Step 3: Cross multiply
    3,532.51x = 5,300.70 × 1,193.23
  4. Step 4: Simplify right side
    3,532.51x = 6,324,954.26
  5. Step 5: Solve for x
    x = 6,324,954.26/3,532.51
  6. Step 6: Final answer
    x = 1,790.50

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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.