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Finding the Fourth Proportional to 4,677.89, 7,021.85 and 4,161.20

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Solution

The fourth proportional to 4,677.89, 7,021.85 and 4,161.20 is: 6,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.89 : 7,021.85 = 4,161.20 : x
  2. Step 2: Convert to fraction form
    4,677.89/7,021.85 = 4,161.20/x
  3. Step 3: Cross multiply
    4,677.89x = 7,021.85 × 4,161.20
  4. Step 4: Simplify right side
    4,677.89x = 29,219,266.30
  5. Step 5: Solve for x
    x = 29,219,266.30/4,677.89
  6. Step 6: Final answer
    x = 6,246.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.