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Finding the Fourth Proportional to 3,411.36, 5,118.12 and 1,872

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Solution

The fourth proportional to 3,411.36, 5,118.12 and 1,872 is: 2,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.36 : 5,118.12 = 1,872 : x
  2. Step 2: Convert to fraction form
    3,411.36/5,118.12 = 1,872/x
  3. Step 3: Cross multiply
    3,411.36x = 5,118.12 × 1,872
  4. Step 4: Simplify right side
    3,411.36x = 9,581,120.64
  5. Step 5: Solve for x
    x = 9,581,120.64/3,411.36
  6. Step 6: Final answer
    x = 2,808.59

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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.