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Finding the Fourth Proportional to 3,732.33, 5,597.58 and 1,267.08

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Solution

The fourth proportional to 3,732.33, 5,597.58 and 1,267.08 is: 1,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.33 : 5,597.58 = 1,267.08 : x
  2. Step 2: Convert to fraction form
    3,732.33/5,597.58 = 1,267.08/x
  3. Step 3: Cross multiply
    3,732.33x = 5,597.58 × 1,267.08
  4. Step 4: Simplify right side
    3,732.33x = 7,092,581.67
  5. Step 5: Solve for x
    x = 7,092,581.67/3,732.33
  6. Step 6: Final answer
    x = 1,900.31

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