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Finding the Fourth Proportional to 5,609.25, 8,412.80 and 1,911.45

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Solution

The fourth proportional to 5,609.25, 8,412.80 and 1,911.45 is: 2,866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.25 : 8,412.80 = 1,911.45 : x
  2. Step 2: Convert to fraction form
    5,609.25/8,412.80 = 1,911.45/x
  3. Step 3: Cross multiply
    5,609.25x = 8,412.80 × 1,911.45
  4. Step 4: Simplify right side
    5,609.25x = 16,080,637.00
  5. Step 5: Solve for x
    x = 16,080,637.00/5,609.25
  6. Step 6: Final answer
    x = 2,866.81

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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.