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Finding the Fourth Proportional to 5,234.60, 7,216.72 and 4,485.32

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Solution

The fourth proportional to 5,234.60, 7,216.72 and 4,485.32 is: 6,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.60 : 7,216.72 = 4,485.32 : x
  2. Step 2: Convert to fraction form
    5,234.60/7,216.72 = 4,485.32/x
  3. Step 3: Cross multiply
    5,234.60x = 7,216.72 × 4,485.32
  4. Step 4: Simplify right side
    5,234.60x = 32,369,251.25
  5. Step 5: Solve for x
    x = 32,369,251.25/5,234.60
  6. Step 6: Final answer
    x = 6,183.72

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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.