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Finding the Fourth Proportional to 4,214.79, 6,324.47 and 1,751.31

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Solution

The fourth proportional to 4,214.79, 6,324.47 and 1,751.31 is: 2,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.79 : 6,324.47 = 1,751.31 : x
  2. Step 2: Convert to fraction form
    4,214.79/6,324.47 = 1,751.31/x
  3. Step 3: Cross multiply
    4,214.79x = 6,324.47 × 1,751.31
  4. Step 4: Simplify right side
    4,214.79x = 11,076,107.56
  5. Step 5: Solve for x
    x = 11,076,107.56/4,214.79
  6. Step 6: Final answer
    x = 2,627.91

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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.