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Finding the Fourth Proportional to 3,412.94, 5,109.62 and 2,105.60

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Solution

The fourth proportional to 3,412.94, 5,109.62 and 2,105.60 is: 3,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.94 : 5,109.62 = 2,105.60 : x
  2. Step 2: Convert to fraction form
    3,412.94/5,109.62 = 2,105.60/x
  3. Step 3: Cross multiply
    3,412.94x = 5,109.62 × 2,105.60
  4. Step 4: Simplify right side
    3,412.94x = 10,758,779.80
  5. Step 5: Solve for x
    x = 10,758,779.80/3,412.94
  6. Step 6: Final answer
    x = 3,152.35

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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.