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Finding the Fourth Proportional to 4,697.50, 7,052.34 and 3,147.42

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Solution

The fourth proportional to 4,697.50, 7,052.34 and 3,147.42 is: 4,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.50 : 7,052.34 = 3,147.42 : x
  2. Step 2: Convert to fraction form
    4,697.50/7,052.34 = 3,147.42/x
  3. Step 3: Cross multiply
    4,697.50x = 7,052.34 × 3,147.42
  4. Step 4: Simplify right side
    4,697.50x = 22,196,675.96
  5. Step 5: Solve for x
    x = 22,196,675.96/4,697.50
  6. Step 6: Final answer
    x = 4,725.21

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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.