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Finding the Fourth Proportional to 6,322.70, 8,725.83 and 3,490.34

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Solution

The fourth proportional to 6,322.70, 8,725.83 and 3,490.34 is: 4,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.70 : 8,725.83 = 3,490.34 : x
  2. Step 2: Convert to fraction form
    6,322.70/8,725.83 = 3,490.34/x
  3. Step 3: Cross multiply
    6,322.70x = 8,725.83 × 3,490.34
  4. Step 4: Simplify right side
    6,322.70x = 30,456,056.76
  5. Step 5: Solve for x
    x = 30,456,056.76/6,322.70
  6. Step 6: Final answer
    x = 4,816.94

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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.