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Finding the Fourth Proportional to 5,734.84, 7,913.42 and 3,216.96

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Solution

The fourth proportional to 5,734.84, 7,913.42 and 3,216.96 is: 4,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.84 : 7,913.42 = 3,216.96 : x
  2. Step 2: Convert to fraction form
    5,734.84/7,913.42 = 3,216.96/x
  3. Step 3: Cross multiply
    5,734.84x = 7,913.42 × 3,216.96
  4. Step 4: Simplify right side
    5,734.84x = 25,457,155.60
  5. Step 5: Solve for x
    x = 25,457,155.60/5,734.84
  6. Step 6: Final answer
    x = 4,439.04

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1.5x scale

Why These Related Problems?

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