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Finding the Fourth Proportional to 6,313.34, 8,713.98 and 3,660.39

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Solution

The fourth proportional to 6,313.34, 8,713.98 and 3,660.39 is: 5,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.34 : 8,713.98 = 3,660.39 : x
  2. Step 2: Convert to fraction form
    6,313.34/8,713.98 = 3,660.39/x
  3. Step 3: Cross multiply
    6,313.34x = 8,713.98 × 3,660.39
  4. Step 4: Simplify right side
    6,313.34x = 31,896,565.25
  5. Step 5: Solve for x
    x = 31,896,565.25/6,313.34
  6. Step 6: Final answer
    x = 5,052.25

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Why These Related Problems?

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