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Finding the Fourth Proportional to 4,657.68, 6,427.72 and 2,561.86

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Solution

The fourth proportional to 4,657.68, 6,427.72 and 2,561.86 is: 3,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.68 : 6,427.72 = 2,561.86 : x
  2. Step 2: Convert to fraction form
    4,657.68/6,427.72 = 2,561.86/x
  3. Step 3: Cross multiply
    4,657.68x = 6,427.72 × 2,561.86
  4. Step 4: Simplify right side
    4,657.68x = 16,466,918.76
  5. Step 5: Solve for x
    x = 16,466,918.76/4,657.68
  6. Step 6: Final answer
    x = 3,535.43

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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.