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Finding the Fourth Proportional to 5,733.70, 8,601.53 and 1,784.67

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Solution

The fourth proportional to 5,733.70, 8,601.53 and 1,784.67 is: 2,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.70 : 8,601.53 = 1,784.67 : x
  2. Step 2: Convert to fraction form
    5,733.70/8,601.53 = 1,784.67/x
  3. Step 3: Cross multiply
    5,733.70x = 8,601.53 × 1,784.67
  4. Step 4: Simplify right side
    5,733.70x = 15,350,884.40
  5. Step 5: Solve for x
    x = 15,350,884.40/5,733.70
  6. Step 6: Final answer
    x = 2,677.31

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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.