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Finding the Fourth Proportional to 5,726.95, 8,591.37 and 2,028.39

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Solution

The fourth proportional to 5,726.95, 8,591.37 and 2,028.39 is: 3,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.95 : 8,591.37 = 2,028.39 : x
  2. Step 2: Convert to fraction form
    5,726.95/8,591.37 = 2,028.39/x
  3. Step 3: Cross multiply
    5,726.95x = 8,591.37 × 2,028.39
  4. Step 4: Simplify right side
    5,726.95x = 17,426,657.50
  5. Step 5: Solve for x
    x = 17,426,657.50/5,726.95
  6. Step 6: Final answer
    x = 3,042.92

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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.