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Finding the Fourth Proportional to 6,249.16, 8,624.05 and 3,416.47

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Solution

The fourth proportional to 6,249.16, 8,624.05 and 3,416.47 is: 4,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.16 : 8,624.05 = 3,416.47 : x
  2. Step 2: Convert to fraction form
    6,249.16/8,624.05 = 3,416.47/x
  3. Step 3: Cross multiply
    6,249.16x = 8,624.05 × 3,416.47
  4. Step 4: Simplify right side
    6,249.16x = 29,463,827.63
  5. Step 5: Solve for x
    x = 29,463,827.63/6,249.16
  6. Step 6: Final answer
    x = 4,714.85

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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.