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Finding the Fourth Proportional to 5,946.26, 8,205.86 and 3,854.03

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Solution

The fourth proportional to 5,946.26, 8,205.86 and 3,854.03 is: 5,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.26 : 8,205.86 = 3,854.03 : x
  2. Step 2: Convert to fraction form
    5,946.26/8,205.86 = 3,854.03/x
  3. Step 3: Cross multiply
    5,946.26x = 8,205.86 × 3,854.03
  4. Step 4: Simplify right side
    5,946.26x = 31,625,599.22
  5. Step 5: Solve for x
    x = 31,625,599.22/5,946.26
  6. Step 6: Final answer
    x = 5,318.57

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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.