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Finding the Fourth Proportional to 3,047.76, 4,571.76 and 995.76

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Solution

The fourth proportional to 3,047.76, 4,571.76 and 995.76 is: 1,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.76 : 4,571.76 = 995.76 : x
  2. Step 2: Convert to fraction form
    3,047.76/4,571.76 = 995.76/x
  3. Step 3: Cross multiply
    3,047.76x = 4,571.76 × 995.76
  4. Step 4: Simplify right side
    3,047.76x = 4,552,375.74
  5. Step 5: Solve for x
    x = 4,552,375.74/3,047.76
  6. Step 6: Final answer
    x = 1,493.68

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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.