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Finding the Fourth Proportional to 3,732.50, 5,598.76 and 1,424.54

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Solution

The fourth proportional to 3,732.50, 5,598.76 and 1,424.54 is: 2,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.50 : 5,598.76 = 1,424.54 : x
  2. Step 2: Convert to fraction form
    3,732.50/5,598.76 = 1,424.54/x
  3. Step 3: Cross multiply
    3,732.50x = 5,598.76 × 1,424.54
  4. Step 4: Simplify right side
    3,732.50x = 7,975,657.57
  5. Step 5: Solve for x
    x = 7,975,657.57/3,732.50
  6. Step 6: Final answer
    x = 2,136.81

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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.