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Finding the Fourth Proportional to 5,828.44, 8,042.18 and 3,404.76

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Solution

The fourth proportional to 5,828.44, 8,042.18 and 3,404.76 is: 4,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.44 : 8,042.18 = 3,404.76 : x
  2. Step 2: Convert to fraction form
    5,828.44/8,042.18 = 3,404.76/x
  3. Step 3: Cross multiply
    5,828.44x = 8,042.18 × 3,404.76
  4. Step 4: Simplify right side
    5,828.44x = 27,381,692.78
  5. Step 5: Solve for x
    x = 27,381,692.78/5,828.44
  6. Step 6: Final answer
    x = 4,697.95

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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.