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Finding the Fourth Proportional to 5,828.76, 8,043.84 and 3,438.86

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Solution

The fourth proportional to 5,828.76, 8,043.84 and 3,438.86 is: 4,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.76 : 8,043.84 = 3,438.86 : x
  2. Step 2: Convert to fraction form
    5,828.76/8,043.84 = 3,438.86/x
  3. Step 3: Cross multiply
    5,828.76x = 8,043.84 × 3,438.86
  4. Step 4: Simplify right side
    5,828.76x = 27,661,599.40
  5. Step 5: Solve for x
    x = 27,661,599.40/5,828.76
  6. Step 6: Final answer
    x = 4,745.71

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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.