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Finding the Fourth Proportional to 3,502, 5,253.90 and 1,193.50

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Solution

The fourth proportional to 3,502, 5,253.90 and 1,193.50 is: 1,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502 : 5,253.90 = 1,193.50 : x
  2. Step 2: Convert to fraction form
    3,502/5,253.90 = 1,193.50/x
  3. Step 3: Cross multiply
    3,502x = 5,253.90 × 1,193.50
  4. Step 4: Simplify right side
    3,502x = 6,270,529.65
  5. Step 5: Solve for x
    x = 6,270,529.65/3,502
  6. Step 6: Final answer
    x = 1,790.56

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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.