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Finding the Fourth Proportional to 3,845.18, 5,774.29 and 3,647.90

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Solution

The fourth proportional to 3,845.18, 5,774.29 and 3,647.90 is: 5,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.18 : 5,774.29 = 3,647.90 : x
  2. Step 2: Convert to fraction form
    3,845.18/5,774.29 = 3,647.90/x
  3. Step 3: Cross multiply
    3,845.18x = 5,774.29 × 3,647.90
  4. Step 4: Simplify right side
    3,845.18x = 21,063,994.50
  5. Step 5: Solve for x
    x = 21,063,994.50/3,845.18
  6. Step 6: Final answer
    x = 5,478.03

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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.