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Finding the Fourth Proportional to 3,430.89, 5,146.64 and 965.73

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Solution

The fourth proportional to 3,430.89, 5,146.64 and 965.73 is: 1,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.89 : 5,146.64 = 965.73 : x
  2. Step 2: Convert to fraction form
    3,430.89/5,146.64 = 965.73/x
  3. Step 3: Cross multiply
    3,430.89x = 5,146.64 × 965.73
  4. Step 4: Simplify right side
    3,430.89x = 4,970,282.74
  5. Step 5: Solve for x
    x = 4,970,282.74/3,430.89
  6. Step 6: Final answer
    x = 1,448.69

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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.