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Finding the Fourth Proportional to 5,674.23, 7,826.33 and 4,375.90

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Solution

The fourth proportional to 5,674.23, 7,826.33 and 4,375.90 is: 6,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.23 : 7,826.33 = 4,375.90 : x
  2. Step 2: Convert to fraction form
    5,674.23/7,826.33 = 4,375.90/x
  3. Step 3: Cross multiply
    5,674.23x = 7,826.33 × 4,375.90
  4. Step 4: Simplify right side
    5,674.23x = 34,247,237.45
  5. Step 5: Solve for x
    x = 34,247,237.45/5,674.23
  6. Step 6: Final answer
    x = 6,035.57

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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.