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Finding the Fourth Proportional to 3,230.42, 4,840.29 and 3,109.05

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Solution

The fourth proportional to 3,230.42, 4,840.29 and 3,109.05 is: 4,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.42 : 4,840.29 = 3,109.05 : x
  2. Step 2: Convert to fraction form
    3,230.42/4,840.29 = 3,109.05/x
  3. Step 3: Cross multiply
    3,230.42x = 4,840.29 × 3,109.05
  4. Step 4: Simplify right side
    3,230.42x = 15,048,703.62
  5. Step 5: Solve for x
    x = 15,048,703.62/3,230.42
  6. Step 6: Final answer
    x = 4,658.44

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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.