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Finding the Fourth Proportional to 4,625.68, 6,935.73 and 1,811.16

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Solution

The fourth proportional to 4,625.68, 6,935.73 and 1,811.16 is: 2,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.68 : 6,935.73 = 1,811.16 : x
  2. Step 2: Convert to fraction form
    4,625.68/6,935.73 = 1,811.16/x
  3. Step 3: Cross multiply
    4,625.68x = 6,935.73 × 1,811.16
  4. Step 4: Simplify right side
    4,625.68x = 12,561,716.75
  5. Step 5: Solve for x
    x = 12,561,716.75/4,625.68
  6. Step 6: Final answer
    x = 2,715.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.