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Finding the Fourth Proportional to 4,609.02, 6,909.69 and 2,142.54

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Solution

The fourth proportional to 4,609.02, 6,909.69 and 2,142.54 is: 3,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.02 : 6,909.69 = 2,142.54 : x
  2. Step 2: Convert to fraction form
    4,609.02/6,909.69 = 2,142.54/x
  3. Step 3: Cross multiply
    4,609.02x = 6,909.69 × 2,142.54
  4. Step 4: Simplify right side
    4,609.02x = 14,804,287.21
  5. Step 5: Solve for x
    x = 14,804,287.21/4,609.02
  6. Step 6: Final answer
    x = 3,212.02

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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.