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Finding the Fourth Proportional to 3,186.66, 4,780.02 and 995.40

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Solution

The fourth proportional to 3,186.66, 4,780.02 and 995.40 is: 1,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.66 : 4,780.02 = 995.40 : x
  2. Step 2: Convert to fraction form
    3,186.66/4,780.02 = 995.40/x
  3. Step 3: Cross multiply
    3,186.66x = 4,780.02 × 995.40
  4. Step 4: Simplify right side
    3,186.66x = 4,758,031.91
  5. Step 5: Solve for x
    x = 4,758,031.91/3,186.66
  6. Step 6: Final answer
    x = 1,493.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.