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Finding the Fourth Proportional to 4,152.06, 6,230.81 and 2,205.63

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Solution

The fourth proportional to 4,152.06, 6,230.81 and 2,205.63 is: 3,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.06 : 6,230.81 = 2,205.63 : x
  2. Step 2: Convert to fraction form
    4,152.06/6,230.81 = 2,205.63/x
  3. Step 3: Cross multiply
    4,152.06x = 6,230.81 × 2,205.63
  4. Step 4: Simplify right side
    4,152.06x = 13,742,866.97
  5. Step 5: Solve for x
    x = 13,742,866.97/4,152.06
  6. Step 6: Final answer
    x = 3,309.89

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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.