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Finding the Fourth Proportional to 5,894.59, 8,134.49 and 3,205.80

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Solution

The fourth proportional to 5,894.59, 8,134.49 and 3,205.80 is: 4,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.59 : 8,134.49 = 3,205.80 : x
  2. Step 2: Convert to fraction form
    5,894.59/8,134.49 = 3,205.80/x
  3. Step 3: Cross multiply
    5,894.59x = 8,134.49 × 3,205.80
  4. Step 4: Simplify right side
    5,894.59x = 26,077,548.04
  5. Step 5: Solve for x
    x = 26,077,548.04/5,894.59
  6. Step 6: Final answer
    x = 4,423.98

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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.