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Finding the Fourth Proportional to 3,564.38, 5,346.67 and 1,689.83

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Solution

The fourth proportional to 3,564.38, 5,346.67 and 1,689.83 is: 2,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.38 : 5,346.67 = 1,689.83 : x
  2. Step 2: Convert to fraction form
    3,564.38/5,346.67 = 1,689.83/x
  3. Step 3: Cross multiply
    3,564.38x = 5,346.67 × 1,689.83
  4. Step 4: Simplify right side
    3,564.38x = 9,034,972.51
  5. Step 5: Solve for x
    x = 9,034,972.51/3,564.38
  6. Step 6: Final answer
    x = 2,534.79

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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.