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Finding the Fourth Proportional to 3,609.64, 5,409.98 and 1,877.80

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Solution

The fourth proportional to 3,609.64, 5,409.98 and 1,877.80 is: 2,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.64 : 5,409.98 = 1,877.80 : x
  2. Step 2: Convert to fraction form
    3,609.64/5,409.98 = 1,877.80/x
  3. Step 3: Cross multiply
    3,609.64x = 5,409.98 × 1,877.80
  4. Step 4: Simplify right side
    3,609.64x = 10,158,860.44
  5. Step 5: Solve for x
    x = 10,158,860.44/3,609.64
  6. Step 6: Final answer
    x = 2,814.37

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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.