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Finding the Fourth Proportional to 3,701.61, 5,103.59 and 3,197.61

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Solution

The fourth proportional to 3,701.61, 5,103.59 and 3,197.61 is: 4,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.61 : 5,103.59 = 3,197.61 : x
  2. Step 2: Convert to fraction form
    3,701.61/5,103.59 = 3,197.61/x
  3. Step 3: Cross multiply
    3,701.61x = 5,103.59 × 3,197.61
  4. Step 4: Simplify right side
    3,701.61x = 16,319,274.43
  5. Step 5: Solve for x
    x = 16,319,274.43/3,701.61
  6. Step 6: Final answer
    x = 4,408.70

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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.