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Finding the Fourth Proportional to 5,894.44, 8,131.62 and 3,409

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Solution

The fourth proportional to 5,894.44, 8,131.62 and 3,409 is: 4,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.44 : 8,131.62 = 3,409 : x
  2. Step 2: Convert to fraction form
    5,894.44/8,131.62 = 3,409/x
  3. Step 3: Cross multiply
    5,894.44x = 8,131.62 × 3,409
  4. Step 4: Simplify right side
    5,894.44x = 27,720,692.58
  5. Step 5: Solve for x
    x = 27,720,692.58/5,894.44
  6. Step 6: Final answer
    x = 4,702.85

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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.