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Finding the Fourth Proportional to 3,410.20, 5,115.45 and 945.07

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Solution

The fourth proportional to 3,410.20, 5,115.45 and 945.07 is: 1,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.20 : 5,115.45 = 945.07 : x
  2. Step 2: Convert to fraction form
    3,410.20/5,115.45 = 945.07/x
  3. Step 3: Cross multiply
    3,410.20x = 5,115.45 × 945.07
  4. Step 4: Simplify right side
    3,410.20x = 4,834,449.09
  5. Step 5: Solve for x
    x = 4,834,449.09/3,410.20
  6. Step 6: Final answer
    x = 1,417.64

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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.