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Finding the Fourth Proportional to 4,657.93, 6,428.07 and 2,562.11

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Solution

The fourth proportional to 4,657.93, 6,428.07 and 2,562.11 is: 3,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.93 : 6,428.07 = 2,562.11 : x
  2. Step 2: Convert to fraction form
    4,657.93/6,428.07 = 2,562.11/x
  3. Step 3: Cross multiply
    4,657.93x = 6,428.07 × 2,562.11
  4. Step 4: Simplify right side
    4,657.93x = 16,469,409.62
  5. Step 5: Solve for x
    x = 16,469,409.62/4,657.93
  6. Step 6: Final answer
    x = 3,535.78

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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.