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Finding the Fourth Proportional to 4,657.98, 6,428.01 and 2,562.09

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Solution

The fourth proportional to 4,657.98, 6,428.01 and 2,562.09 is: 3,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.98 : 6,428.01 = 2,562.09 : x
  2. Step 2: Convert to fraction form
    4,657.98/6,428.01 = 2,562.09/x
  3. Step 3: Cross multiply
    4,657.98x = 6,428.01 × 2,562.09
  4. Step 4: Simplify right side
    4,657.98x = 16,469,140.14
  5. Step 5: Solve for x
    x = 16,469,140.14/4,657.98
  6. Step 6: Final answer
    x = 3,535.68

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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.