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Finding the Fourth Proportional to 3,594.56, 5,388 and 2,565.44

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Solution

The fourth proportional to 3,594.56, 5,388 and 2,565.44 is: 3,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.56 : 5,388 = 2,565.44 : x
  2. Step 2: Convert to fraction form
    3,594.56/5,388 = 2,565.44/x
  3. Step 3: Cross multiply
    3,594.56x = 5,388 × 2,565.44
  4. Step 4: Simplify right side
    3,594.56x = 13,822,590.72
  5. Step 5: Solve for x
    x = 13,822,590.72/3,594.56
  6. Step 6: Final answer
    x = 3,845.42

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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.