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Finding the Fourth Proportional to 4,657.25, 6,427.10 and 2,561.38

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Solution

The fourth proportional to 4,657.25, 6,427.10 and 2,561.38 is: 3,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.25 : 6,427.10 = 2,561.38 : x
  2. Step 2: Convert to fraction form
    4,657.25/6,427.10 = 2,561.38/x
  3. Step 3: Cross multiply
    4,657.25x = 6,427.10 × 2,561.38
  4. Step 4: Simplify right side
    4,657.25x = 16,462,245.40
  5. Step 5: Solve for x
    x = 16,462,245.40/4,657.25
  6. Step 6: Final answer
    x = 3,534.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.