Home / 3,412.25-5,118.38-947.09

Finding the Fourth Proportional to 3,412.25, 5,118.38 and 947.09

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Solution

The fourth proportional to 3,412.25, 5,118.38 and 947.09 is: 1,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.25 : 5,118.38 = 947.09 : x
  2. Step 2: Convert to fraction form
    3,412.25/5,118.38 = 947.09/x
  3. Step 3: Cross multiply
    3,412.25x = 5,118.38 × 947.09
  4. Step 4: Simplify right side
    3,412.25x = 4,847,566.51
  5. Step 5: Solve for x
    x = 4,847,566.51/3,412.25
  6. Step 6: Final answer
    x = 1,420.64

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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.