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Finding the Fourth Proportional to 5,734.35, 7,917.21 and 4,405.68

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Solution

The fourth proportional to 5,734.35, 7,917.21 and 4,405.68 is: 6,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.35 : 7,917.21 = 4,405.68 : x
  2. Step 2: Convert to fraction form
    5,734.35/7,917.21 = 4,405.68/x
  3. Step 3: Cross multiply
    5,734.35x = 7,917.21 × 4,405.68
  4. Step 4: Simplify right side
    5,734.35x = 34,880,693.75
  5. Step 5: Solve for x
    x = 34,880,693.75/5,734.35
  6. Step 6: Final answer
    x = 6,082.76

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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.