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Finding the Fourth Proportional to 5,412.14, 8,119.05 and 1,714.02

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Solution

The fourth proportional to 5,412.14, 8,119.05 and 1,714.02 is: 2,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.14 : 8,119.05 = 1,714.02 : x
  2. Step 2: Convert to fraction form
    5,412.14/8,119.05 = 1,714.02/x
  3. Step 3: Cross multiply
    5,412.14x = 8,119.05 × 1,714.02
  4. Step 4: Simplify right side
    5,412.14x = 13,916,214.08
  5. Step 5: Solve for x
    x = 13,916,214.08/5,412.14
  6. Step 6: Final answer
    x = 2,571.30

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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.