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Finding the Fourth Proportional to 3,551.70, 5,323.50 and 1,359.48

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Solution

The fourth proportional to 3,551.70, 5,323.50 and 1,359.48 is: 2,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.70 : 5,323.50 = 1,359.48 : x
  2. Step 2: Convert to fraction form
    3,551.70/5,323.50 = 1,359.48/x
  3. Step 3: Cross multiply
    3,551.70x = 5,323.50 × 1,359.48
  4. Step 4: Simplify right side
    3,551.70x = 7,237,191.78
  5. Step 5: Solve for x
    x = 7,237,191.78/3,551.70
  6. Step 6: Final answer
    x = 2,037.67

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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.