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Finding the Fourth Proportional to 6,341.64, 8,749.98 and 3,823.08

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Solution

The fourth proportional to 6,341.64, 8,749.98 and 3,823.08 is: 5,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.64 : 8,749.98 = 3,823.08 : x
  2. Step 2: Convert to fraction form
    6,341.64/8,749.98 = 3,823.08/x
  3. Step 3: Cross multiply
    6,341.64x = 8,749.98 × 3,823.08
  4. Step 4: Simplify right side
    6,341.64x = 33,451,873.54
  5. Step 5: Solve for x
    x = 33,451,873.54/6,341.64
  6. Step 6: Final answer
    x = 5,274.96

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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.