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Finding the Fourth Proportional to 4,039.90, 6,052.65 and 3,463.90

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Solution

The fourth proportional to 4,039.90, 6,052.65 and 3,463.90 is: 5,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039.90 : 6,052.65 = 3,463.90 : x
  2. Step 2: Convert to fraction form
    4,039.90/6,052.65 = 3,463.90/x
  3. Step 3: Cross multiply
    4,039.90x = 6,052.65 × 3,463.90
  4. Step 4: Simplify right side
    4,039.90x = 20,965,774.34
  5. Step 5: Solve for x
    x = 20,965,774.34/4,039.90
  6. Step 6: Final answer
    x = 5,189.68

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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.