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Finding the Fourth Proportional to 3,732.69, 5,598.50 and 1,267.59

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Solution

The fourth proportional to 3,732.69, 5,598.50 and 1,267.59 is: 1,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.69 : 5,598.50 = 1,267.59 : x
  2. Step 2: Convert to fraction form
    3,732.69/5,598.50 = 1,267.59/x
  3. Step 3: Cross multiply
    3,732.69x = 5,598.50 × 1,267.59
  4. Step 4: Simplify right side
    3,732.69x = 7,096,596.28
  5. Step 5: Solve for x
    x = 7,096,596.28/3,732.69
  6. Step 6: Final answer
    x = 1,901.20

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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.