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Finding the Fourth Proportional to 3,446.96, 5,171.16 and 1,140.08

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Solution

The fourth proportional to 3,446.96, 5,171.16 and 1,140.08 is: 1,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.96 : 5,171.16 = 1,140.08 : x
  2. Step 2: Convert to fraction form
    3,446.96/5,171.16 = 1,140.08/x
  3. Step 3: Cross multiply
    3,446.96x = 5,171.16 × 1,140.08
  4. Step 4: Simplify right side
    3,446.96x = 5,895,536.09
  5. Step 5: Solve for x
    x = 5,895,536.09/3,446.96
  6. Step 6: Final answer
    x = 1,710.36

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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.