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Finding the Fourth Proportional to 3,410.18, 5,115.09 and 945.08

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Solution

The fourth proportional to 3,410.18, 5,115.09 and 945.08 is: 1,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.18 : 5,115.09 = 945.08 : x
  2. Step 2: Convert to fraction form
    3,410.18/5,115.09 = 945.08/x
  3. Step 3: Cross multiply
    3,410.18x = 5,115.09 × 945.08
  4. Step 4: Simplify right side
    3,410.18x = 4,834,169.26
  5. Step 5: Solve for x
    x = 4,834,169.26/3,410.18
  6. Step 6: Final answer
    x = 1,417.57

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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.