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Finding the Fourth Proportional to 4,660.90, 6,431.84 and 2,564.89

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Solution

The fourth proportional to 4,660.90, 6,431.84 and 2,564.89 is: 3,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.90 : 6,431.84 = 2,564.89 : x
  2. Step 2: Convert to fraction form
    4,660.90/6,431.84 = 2,564.89/x
  3. Step 3: Cross multiply
    4,660.90x = 6,431.84 × 2,564.89
  4. Step 4: Simplify right side
    4,660.90x = 16,496,952.43
  5. Step 5: Solve for x
    x = 16,496,952.43/4,660.90
  6. Step 6: Final answer
    x = 3,539.44

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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.