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Finding the Fourth Proportional to 4,671.64, 6,446.34 and 2,575.24

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Solution

The fourth proportional to 4,671.64, 6,446.34 and 2,575.24 is: 3,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.64 : 6,446.34 = 2,575.24 : x
  2. Step 2: Convert to fraction form
    4,671.64/6,446.34 = 2,575.24/x
  3. Step 3: Cross multiply
    4,671.64x = 6,446.34 × 2,575.24
  4. Step 4: Simplify right side
    4,671.64x = 16,600,872.62
  5. Step 5: Solve for x
    x = 16,600,872.62/4,671.64
  6. Step 6: Final answer
    x = 3,553.54

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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.