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Finding the Fourth Proportional to 4,459.73, 6,684.73 and 1,859.63

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Solution

The fourth proportional to 4,459.73, 6,684.73 and 1,859.63 is: 2,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.73 : 6,684.73 = 1,859.63 : x
  2. Step 2: Convert to fraction form
    4,459.73/6,684.73 = 1,859.63/x
  3. Step 3: Cross multiply
    4,459.73x = 6,684.73 × 1,859.63
  4. Step 4: Simplify right side
    4,459.73x = 12,431,086.38
  5. Step 5: Solve for x
    x = 12,431,086.38/4,459.73
  6. Step 6: Final answer
    x = 2,787.41

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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.