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Finding the Fourth Proportional to 4,453.29, 6,146.00 and 2,564.94

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Solution

The fourth proportional to 4,453.29, 6,146.00 and 2,564.94 is: 3,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.29 : 6,146.00 = 2,564.94 : x
  2. Step 2: Convert to fraction form
    4,453.29/6,146.00 = 2,564.94/x
  3. Step 3: Cross multiply
    4,453.29x = 6,146.00 × 2,564.94
  4. Step 4: Simplify right side
    4,453.29x = 15,764,108.42
  5. Step 5: Solve for x
    x = 15,764,108.42/4,453.29
  6. Step 6: Final answer
    x = 3,539.88

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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.