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Finding the Fourth Proportional to 3,430.45, 5,145.90 and 965.35

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Solution

The fourth proportional to 3,430.45, 5,145.90 and 965.35 is: 1,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.45 : 5,145.90 = 965.35 : x
  2. Step 2: Convert to fraction form
    3,430.45/5,145.90 = 965.35/x
  3. Step 3: Cross multiply
    3,430.45x = 5,145.90 × 965.35
  4. Step 4: Simplify right side
    3,430.45x = 4,967,594.57
  5. Step 5: Solve for x
    x = 4,967,594.57/3,430.45
  6. Step 6: Final answer
    x = 1,448.09

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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.