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Finding the Fourth Proportional to 3,564.01, 5,346.69 and 1,372.57

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Solution

The fourth proportional to 3,564.01, 5,346.69 and 1,372.57 is: 2,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.01 : 5,346.69 = 1,372.57 : x
  2. Step 2: Convert to fraction form
    3,564.01/5,346.69 = 1,372.57/x
  3. Step 3: Cross multiply
    3,564.01x = 5,346.69 × 1,372.57
  4. Step 4: Simplify right side
    3,564.01x = 7,338,706.29
  5. Step 5: Solve for x
    x = 7,338,706.29/3,564.01
  6. Step 6: Final answer
    x = 2,059.11

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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.