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Finding the Fourth Proportional to 4,392.75, 6,598.31 and 3,734.53

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Solution

The fourth proportional to 4,392.75, 6,598.31 and 3,734.53 is: 5,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.75 : 6,598.31 = 3,734.53 : x
  2. Step 2: Convert to fraction form
    4,392.75/6,598.31 = 3,734.53/x
  3. Step 3: Cross multiply
    4,392.75x = 6,598.31 × 3,734.53
  4. Step 4: Simplify right side
    4,392.75x = 24,641,586.64
  5. Step 5: Solve for x
    x = 24,641,586.64/4,392.75
  6. Step 6: Final answer
    x = 5,609.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.