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Finding the Fourth Proportional to 5,726.64, 8,590.64 and 2,028.12

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Solution

The fourth proportional to 5,726.64, 8,590.64 and 2,028.12 is: 3,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.64 : 8,590.64 = 2,028.12 : x
  2. Step 2: Convert to fraction form
    5,726.64/8,590.64 = 2,028.12/x
  3. Step 3: Cross multiply
    5,726.64x = 8,590.64 × 2,028.12
  4. Step 4: Simplify right side
    5,726.64x = 17,422,848.80
  5. Step 5: Solve for x
    x = 17,422,848.80/5,726.64
  6. Step 6: Final answer
    x = 3,042.42

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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.