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Finding the Fourth Proportional to 3,406.55, 5,111.10 and 1,215.90

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Solution

The fourth proportional to 3,406.55, 5,111.10 and 1,215.90 is: 1,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.55 : 5,111.10 = 1,215.90 : x
  2. Step 2: Convert to fraction form
    3,406.55/5,111.10 = 1,215.90/x
  3. Step 3: Cross multiply
    3,406.55x = 5,111.10 × 1,215.90
  4. Step 4: Simplify right side
    3,406.55x = 6,214,586.49
  5. Step 5: Solve for x
    x = 6,214,586.49/3,406.55
  6. Step 6: Final answer
    x = 1,824.31

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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.