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Finding the Fourth Proportional to 3,410.64, 5,115.90 and 945.18

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Solution

The fourth proportional to 3,410.64, 5,115.90 and 945.18 is: 1,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.64 : 5,115.90 = 945.18 : x
  2. Step 2: Convert to fraction form
    3,410.64/5,115.90 = 945.18/x
  3. Step 3: Cross multiply
    3,410.64x = 5,115.90 × 945.18
  4. Step 4: Simplify right side
    3,410.64x = 4,835,446.36
  5. Step 5: Solve for x
    x = 4,835,446.36/3,410.64
  6. Step 6: Final answer
    x = 1,417.75

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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.