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Finding the Fourth Proportional to 5,726.16, 8,589.40 and 2,028.52

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Solution

The fourth proportional to 5,726.16, 8,589.40 and 2,028.52 is: 3,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.16 : 8,589.40 = 2,028.52 : x
  2. Step 2: Convert to fraction form
    5,726.16/8,589.40 = 2,028.52/x
  3. Step 3: Cross multiply
    5,726.16x = 8,589.40 × 2,028.52
  4. Step 4: Simplify right side
    5,726.16x = 17,423,769.69
  5. Step 5: Solve for x
    x = 17,423,769.69/5,726.16
  6. Step 6: Final answer
    x = 3,042.84

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