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Finding the Fourth Proportional to 3,187.14, 4,780.53 and 995.61

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Solution

The fourth proportional to 3,187.14, 4,780.53 and 995.61 is: 1,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.14 : 4,780.53 = 995.61 : x
  2. Step 2: Convert to fraction form
    3,187.14/4,780.53 = 995.61/x
  3. Step 3: Cross multiply
    3,187.14x = 4,780.53 × 995.61
  4. Step 4: Simplify right side
    3,187.14x = 4,759,543.47
  5. Step 5: Solve for x
    x = 4,759,543.47/3,187.14
  6. Step 6: Final answer
    x = 1,493.36

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