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Finding the Fourth Proportional to 4,660.74, 6,431.73 and 2,564.82

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Solution

The fourth proportional to 4,660.74, 6,431.73 and 2,564.82 is: 3,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.74 : 6,431.73 = 2,564.82 : x
  2. Step 2: Convert to fraction form
    4,660.74/6,431.73 = 2,564.82/x
  3. Step 3: Cross multiply
    4,660.74x = 6,431.73 × 2,564.82
  4. Step 4: Simplify right side
    4,660.74x = 16,496,229.74
  5. Step 5: Solve for x
    x = 16,496,229.74/4,660.74
  6. Step 6: Final answer
    x = 3,539.40

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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.