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Finding the Fourth Proportional to 4,783.14, 7,178.02 and 1,861.46

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Solution

The fourth proportional to 4,783.14, 7,178.02 and 1,861.46 is: 2,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.14 : 7,178.02 = 1,861.46 : x
  2. Step 2: Convert to fraction form
    4,783.14/7,178.02 = 1,861.46/x
  3. Step 3: Cross multiply
    4,783.14x = 7,178.02 × 1,861.46
  4. Step 4: Simplify right side
    4,783.14x = 13,361,597.11
  5. Step 5: Solve for x
    x = 13,361,597.11/4,783.14
  6. Step 6: Final answer
    x = 2,793.48

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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.