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Finding the Fourth Proportional to 5,749.75, 8,624.63 and 1,589.80

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Solution

The fourth proportional to 5,749.75, 8,624.63 and 1,589.80 is: 2,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.75 : 8,624.63 = 1,589.80 : x
  2. Step 2: Convert to fraction form
    5,749.75/8,624.63 = 1,589.80/x
  3. Step 3: Cross multiply
    5,749.75x = 8,624.63 × 1,589.80
  4. Step 4: Simplify right side
    5,749.75x = 13,711,436.77
  5. Step 5: Solve for x
    x = 13,711,436.77/5,749.75
  6. Step 6: Final answer
    x = 2,384.70

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Similar ratio
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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.