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Finding the Fourth Proportional to 3,412.26, 5,118.26 and 947.06

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Solution

The fourth proportional to 3,412.26, 5,118.26 and 947.06 is: 1,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.26 : 5,118.26 = 947.06 : x
  2. Step 2: Convert to fraction form
    3,412.26/5,118.26 = 947.06/x
  3. Step 3: Cross multiply
    3,412.26x = 5,118.26 × 947.06
  4. Step 4: Simplify right side
    3,412.26x = 4,847,299.32
  5. Step 5: Solve for x
    x = 4,847,299.32/3,412.26
  6. Step 6: Final answer
    x = 1,420.55

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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.