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Finding the Fourth Proportional to 6,249.44, 8,624.32 and 3,416.86

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Solution

The fourth proportional to 6,249.44, 8,624.32 and 3,416.86 is: 4,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.44 : 8,624.32 = 3,416.86 : x
  2. Step 2: Convert to fraction form
    6,249.44/8,624.32 = 3,416.86/x
  3. Step 3: Cross multiply
    6,249.44x = 8,624.32 × 3,416.86
  4. Step 4: Simplify right side
    6,249.44x = 29,468,094.04
  5. Step 5: Solve for x
    x = 29,468,094.04/6,249.44
  6. Step 6: Final answer
    x = 4,715.32

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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.