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Finding the Fourth Proportional to 6,313.04, 8,709.64 and 3,659.48

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Solution

The fourth proportional to 6,313.04, 8,709.64 and 3,659.48 is: 5,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.04 : 8,709.64 = 3,659.48 : x
  2. Step 2: Convert to fraction form
    6,313.04/8,709.64 = 3,659.48/x
  3. Step 3: Cross multiply
    6,313.04x = 8,709.64 × 3,659.48
  4. Step 4: Simplify right side
    6,313.04x = 31,872,753.39
  5. Step 5: Solve for x
    x = 31,872,753.39/6,313.04
  6. Step 6: Final answer
    x = 5,048.72

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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.