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Finding the Fourth Proportional to 3,760.34, 5,641.05 and 1,162.67

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Solution

The fourth proportional to 3,760.34, 5,641.05 and 1,162.67 is: 1,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.34 : 5,641.05 = 1,162.67 : x
  2. Step 2: Convert to fraction form
    3,760.34/5,641.05 = 1,162.67/x
  3. Step 3: Cross multiply
    3,760.34x = 5,641.05 × 1,162.67
  4. Step 4: Simplify right side
    3,760.34x = 6,558,679.60
  5. Step 5: Solve for x
    x = 6,558,679.60/3,760.34
  6. Step 6: Final answer
    x = 1,744.17

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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.