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Finding the Fourth Proportional to 3,430.14, 5,145.13 and 964.90

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Solution

The fourth proportional to 3,430.14, 5,145.13 and 964.90 is: 1,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.14 : 5,145.13 = 964.90 : x
  2. Step 2: Convert to fraction form
    3,430.14/5,145.13 = 964.90/x
  3. Step 3: Cross multiply
    3,430.14x = 5,145.13 × 964.90
  4. Step 4: Simplify right side
    3,430.14x = 4,964,535.94
  5. Step 5: Solve for x
    x = 4,964,535.94/3,430.14
  6. Step 6: Final answer
    x = 1,447.33

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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.