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Finding the Fourth Proportional to 5,674.44, 7,826.83 and 3,432.45

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Solution

The fourth proportional to 5,674.44, 7,826.83 and 3,432.45 is: 4,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.44 : 7,826.83 = 3,432.45 : x
  2. Step 2: Convert to fraction form
    5,674.44/7,826.83 = 3,432.45/x
  3. Step 3: Cross multiply
    5,674.44x = 7,826.83 × 3,432.45
  4. Step 4: Simplify right side
    5,674.44x = 26,865,202.63
  5. Step 5: Solve for x
    x = 26,865,202.63/5,674.44
  6. Step 6: Final answer
    x = 4,734.42

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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.