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Finding the Fourth Proportional to 5,323.50, 7,984.23 and 1,624.72

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Solution

The fourth proportional to 5,323.50, 7,984.23 and 1,624.72 is: 2,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.50 : 7,984.23 = 1,624.72 : x
  2. Step 2: Convert to fraction form
    5,323.50/7,984.23 = 1,624.72/x
  3. Step 3: Cross multiply
    5,323.50x = 7,984.23 × 1,624.72
  4. Step 4: Simplify right side
    5,323.50x = 12,972,138.17
  5. Step 5: Solve for x
    x = 12,972,138.17/5,323.50
  6. Step 6: Final answer
    x = 2,436.77

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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.