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Finding the Fourth Proportional to 5,412.78, 8,118.71 and 1,714.47

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Solution

The fourth proportional to 5,412.78, 8,118.71 and 1,714.47 is: 2,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.78 : 8,118.71 = 1,714.47 : x
  2. Step 2: Convert to fraction form
    5,412.78/8,118.71 = 1,714.47/x
  3. Step 3: Cross multiply
    5,412.78x = 8,118.71 × 1,714.47
  4. Step 4: Simplify right side
    5,412.78x = 13,919,284.73
  5. Step 5: Solve for x
    x = 13,919,284.73/5,412.78
  6. Step 6: Final answer
    x = 2,571.56

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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.