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Finding the Fourth Proportional to 3,794.86, 5,236.48 and 2,303.14

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Solution

The fourth proportional to 3,794.86, 5,236.48 and 2,303.14 is: 3,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.86 : 5,236.48 = 2,303.14 : x
  2. Step 2: Convert to fraction form
    3,794.86/5,236.48 = 2,303.14/x
  3. Step 3: Cross multiply
    3,794.86x = 5,236.48 × 2,303.14
  4. Step 4: Simplify right side
    3,794.86x = 12,060,346.55
  5. Step 5: Solve for x
    x = 12,060,346.55/3,794.86
  6. Step 6: Final answer
    x = 3,178.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.