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Finding the Fourth Proportional to 4,673.20, 7,003.65 and 3,434.80

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Solution

The fourth proportional to 4,673.20, 7,003.65 and 3,434.80 is: 5,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.20 : 7,003.65 = 3,434.80 : x
  2. Step 2: Convert to fraction form
    4,673.20/7,003.65 = 3,434.80/x
  3. Step 3: Cross multiply
    4,673.20x = 7,003.65 × 3,434.80
  4. Step 4: Simplify right side
    4,673.20x = 24,056,137.02
  5. Step 5: Solve for x
    x = 24,056,137.02/4,673.20
  6. Step 6: Final answer
    x = 5,147.68

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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.