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Finding the Fourth Proportional to 5,705.40, 7,871.16 and 3,466.44

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Solution

The fourth proportional to 5,705.40, 7,871.16 and 3,466.44 is: 4,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.40 : 7,871.16 = 3,466.44 : x
  2. Step 2: Convert to fraction form
    5,705.40/7,871.16 = 3,466.44/x
  3. Step 3: Cross multiply
    5,705.40x = 7,871.16 × 3,466.44
  4. Step 4: Simplify right side
    5,705.40x = 27,284,903.87
  5. Step 5: Solve for x
    x = 27,284,903.87/5,705.40
  6. Step 6: Final answer
    x = 4,782.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.