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Finding the Fourth Proportional to 4,357.42, 6,544.53 and 3,734.12

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Solution

The fourth proportional to 4,357.42, 6,544.53 and 3,734.12 is: 5,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.42 : 6,544.53 = 3,734.12 : x
  2. Step 2: Convert to fraction form
    4,357.42/6,544.53 = 3,734.12/x
  3. Step 3: Cross multiply
    4,357.42x = 6,544.53 × 3,734.12
  4. Step 4: Simplify right side
    4,357.42x = 24,438,060.36
  5. Step 5: Solve for x
    x = 24,438,060.36/4,357.42
  6. Step 6: Final answer
    x = 5,608.38

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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.