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Finding the Fourth Proportional to 3,210.56, 4,816.32 and 2,796.72

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Solution

The fourth proportional to 3,210.56, 4,816.32 and 2,796.72 is: 4,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.56 : 4,816.32 = 2,796.72 : x
  2. Step 2: Convert to fraction form
    3,210.56/4,816.32 = 2,796.72/x
  3. Step 3: Cross multiply
    3,210.56x = 4,816.32 × 2,796.72
  4. Step 4: Simplify right side
    3,210.56x = 13,469,898.47
  5. Step 5: Solve for x
    x = 13,469,898.47/3,210.56
  6. Step 6: Final answer
    x = 4,195.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.