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Finding the Fourth Proportional to 3,346.53, 5,020.20 and 1,154.67

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Solution

The fourth proportional to 3,346.53, 5,020.20 and 1,154.67 is: 1,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.53 : 5,020.20 = 1,154.67 : x
  2. Step 2: Convert to fraction form
    3,346.53/5,020.20 = 1,154.67/x
  3. Step 3: Cross multiply
    3,346.53x = 5,020.20 × 1,154.67
  4. Step 4: Simplify right side
    3,346.53x = 5,796,674.33
  5. Step 5: Solve for x
    x = 5,796,674.33/3,346.53
  6. Step 6: Final answer
    x = 1,732.14

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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.