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Finding the Fourth Proportional to 6,322.86, 8,725.50 and 3,490.24

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Solution

The fourth proportional to 6,322.86, 8,725.50 and 3,490.24 is: 4,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.86 : 8,725.50 = 3,490.24 : x
  2. Step 2: Convert to fraction form
    6,322.86/8,725.50 = 3,490.24/x
  3. Step 3: Cross multiply
    6,322.86x = 8,725.50 × 3,490.24
  4. Step 4: Simplify right side
    6,322.86x = 30,454,076.03
  5. Step 5: Solve for x
    x = 30,454,076.03/6,322.86
  6. Step 6: Final answer
    x = 4,816.50

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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.