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Finding the Fourth Proportional to 3,430.17, 5,145.27 and 965.04

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Solution

The fourth proportional to 3,430.17, 5,145.27 and 965.04 is: 1,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.17 : 5,145.27 = 965.04 : x
  2. Step 2: Convert to fraction form
    3,430.17/5,145.27 = 965.04/x
  3. Step 3: Cross multiply
    3,430.17x = 5,145.27 × 965.04
  4. Step 4: Simplify right side
    3,430.17x = 4,965,391.36
  5. Step 5: Solve for x
    x = 4,965,391.36/3,430.17
  6. Step 6: Final answer
    x = 1,447.56

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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.