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Finding the Fourth Proportional to 4,182.45, 6,268.80 and 1,714.27

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Solution

The fourth proportional to 4,182.45, 6,268.80 and 1,714.27 is: 2,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.45 : 6,268.80 = 1,714.27 : x
  2. Step 2: Convert to fraction form
    4,182.45/6,268.80 = 1,714.27/x
  3. Step 3: Cross multiply
    4,182.45x = 6,268.80 × 1,714.27
  4. Step 4: Simplify right side
    4,182.45x = 10,746,415.78
  5. Step 5: Solve for x
    x = 10,746,415.78/4,182.45
  6. Step 6: Final answer
    x = 2,569.41

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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.