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Finding the Fourth Proportional to 5,646.58, 7,794.38 and 3,408.56

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Solution

The fourth proportional to 5,646.58, 7,794.38 and 3,408.56 is: 4,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.58 : 7,794.38 = 3,408.56 : x
  2. Step 2: Convert to fraction form
    5,646.58/7,794.38 = 3,408.56/x
  3. Step 3: Cross multiply
    5,646.58x = 7,794.38 × 3,408.56
  4. Step 4: Simplify right side
    5,646.58x = 26,567,611.89
  5. Step 5: Solve for x
    x = 26,567,611.89/5,646.58
  6. Step 6: Final answer
    x = 4,705.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.