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Finding the Fourth Proportional to 3,186.59, 4,778.54 and 1,237.46

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Solution

The fourth proportional to 3,186.59, 4,778.54 and 1,237.46 is: 1,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.59 : 4,778.54 = 1,237.46 : x
  2. Step 2: Convert to fraction form
    3,186.59/4,778.54 = 1,237.46/x
  3. Step 3: Cross multiply
    3,186.59x = 4,778.54 × 1,237.46
  4. Step 4: Simplify right side
    3,186.59x = 5,913,245.92
  5. Step 5: Solve for x
    x = 5,913,245.92/3,186.59
  6. Step 6: Final answer
    x = 1,855.67

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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.