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Finding the Fourth Proportional to 3,415.56, 5,120.32 and 1,334.11

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Solution

The fourth proportional to 3,415.56, 5,120.32 and 1,334.11 is: 1,999.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.56 : 5,120.32 = 1,334.11 : x
  2. Step 2: Convert to fraction form
    3,415.56/5,120.32 = 1,334.11/x
  3. Step 3: Cross multiply
    3,415.56x = 5,120.32 × 1,334.11
  4. Step 4: Simplify right side
    3,415.56x = 6,831,070.12
  5. Step 5: Solve for x
    x = 6,831,070.12/3,415.56
  6. Step 6: Final answer
    x = 1,999.99

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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.