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Finding the Fourth Proportional to 3,387.85, 5,081.61 and 1,412.66

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Solution

The fourth proportional to 3,387.85, 5,081.61 and 1,412.66 is: 2,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.85 : 5,081.61 = 1,412.66 : x
  2. Step 2: Convert to fraction form
    3,387.85/5,081.61 = 1,412.66/x
  3. Step 3: Cross multiply
    3,387.85x = 5,081.61 × 1,412.66
  4. Step 4: Simplify right side
    3,387.85x = 7,178,599.89
  5. Step 5: Solve for x
    x = 7,178,599.89/3,387.85
  6. Step 6: Final answer
    x = 2,118.93

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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.