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Finding the Fourth Proportional to 5,922.54, 8,174.13 and 3,532.65

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Solution

The fourth proportional to 5,922.54, 8,174.13 and 3,532.65 is: 4,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.54 : 8,174.13 = 3,532.65 : x
  2. Step 2: Convert to fraction form
    5,922.54/8,174.13 = 3,532.65/x
  3. Step 3: Cross multiply
    5,922.54x = 8,174.13 × 3,532.65
  4. Step 4: Simplify right side
    5,922.54x = 28,876,340.34
  5. Step 5: Solve for x
    x = 28,876,340.34/5,922.54
  6. Step 6: Final answer
    x = 4,875.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.