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Finding the Fourth Proportional to 3,412.58, 5,118.78 and 1,072.70

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Solution

The fourth proportional to 3,412.58, 5,118.78 and 1,072.70 is: 1,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.58 : 5,118.78 = 1,072.70 : x
  2. Step 2: Convert to fraction form
    3,412.58/5,118.78 = 1,072.70/x
  3. Step 3: Cross multiply
    3,412.58x = 5,118.78 × 1,072.70
  4. Step 4: Simplify right side
    3,412.58x = 5,490,889.71
  5. Step 5: Solve for x
    x = 5,490,889.71/3,412.58
  6. Step 6: Final answer
    x = 1,609.02

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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.