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Finding the Fourth Proportional to 5,735.68, 8,602.71 and 1,839.58

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Solution

The fourth proportional to 5,735.68, 8,602.71 and 1,839.58 is: 2,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.68 : 8,602.71 = 1,839.58 : x
  2. Step 2: Convert to fraction form
    5,735.68/8,602.71 = 1,839.58/x
  3. Step 3: Cross multiply
    5,735.68x = 8,602.71 × 1,839.58
  4. Step 4: Simplify right side
    5,735.68x = 15,825,344.86
  5. Step 5: Solve for x
    x = 15,825,344.86/5,735.68
  6. Step 6: Final answer
    x = 2,759.11

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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.