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Finding the Fourth Proportional to 4,657.70, 6,427.49 and 2,561.82

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Solution

The fourth proportional to 4,657.70, 6,427.49 and 2,561.82 is: 3,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.70 : 6,427.49 = 2,561.82 : x
  2. Step 2: Convert to fraction form
    4,657.70/6,427.49 = 2,561.82/x
  3. Step 3: Cross multiply
    4,657.70x = 6,427.49 × 2,561.82
  4. Step 4: Simplify right side
    4,657.70x = 16,466,059.62
  5. Step 5: Solve for x
    x = 16,466,059.62/4,657.70
  6. Step 6: Final answer
    x = 3,535.24

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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.