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Finding the Fourth Proportional to 5,728.50, 8,592.75 and 1,624.50

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Solution

The fourth proportional to 5,728.50, 8,592.75 and 1,624.50 is: 2,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.50 : 8,592.75 = 1,624.50 : x
  2. Step 2: Convert to fraction form
    5,728.50/8,592.75 = 1,624.50/x
  3. Step 3: Cross multiply
    5,728.50x = 8,592.75 × 1,624.50
  4. Step 4: Simplify right side
    5,728.50x = 13,958,922.38
  5. Step 5: Solve for x
    x = 13,958,922.38/5,728.50
  6. Step 6: Final answer
    x = 2,436.75

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1.5x scale

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.