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Finding the Fourth Proportional to 4,724.33, 6,520.05 and 2,734.83

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Solution

The fourth proportional to 4,724.33, 6,520.05 and 2,734.83 is: 3,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.33 : 6,520.05 = 2,734.83 : x
  2. Step 2: Convert to fraction form
    4,724.33/6,520.05 = 2,734.83/x
  3. Step 3: Cross multiply
    4,724.33x = 6,520.05 × 2,734.83
  4. Step 4: Simplify right side
    4,724.33x = 17,831,228.34
  5. Step 5: Solve for x
    x = 17,831,228.34/4,724.33
  6. Step 6: Final answer
    x = 3,774.34

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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.