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Finding the Fourth Proportional to 6,419.78, 8,859.42 and 3,625.28

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Solution

The fourth proportional to 6,419.78, 8,859.42 and 3,625.28 is: 5,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.78 : 8,859.42 = 3,625.28 : x
  2. Step 2: Convert to fraction form
    6,419.78/8,859.42 = 3,625.28/x
  3. Step 3: Cross multiply
    6,419.78x = 8,859.42 × 3,625.28
  4. Step 4: Simplify right side
    6,419.78x = 32,117,878.14
  5. Step 5: Solve for x
    x = 32,117,878.14/6,419.78
  6. Step 6: Final answer
    x = 5,002.96

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