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Finding the Fourth Proportional to 4,182.86, 6,274.08 and 1,409.56

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Solution

The fourth proportional to 4,182.86, 6,274.08 and 1,409.56 is: 2,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.86 : 6,274.08 = 1,409.56 : x
  2. Step 2: Convert to fraction form
    4,182.86/6,274.08 = 1,409.56/x
  3. Step 3: Cross multiply
    4,182.86x = 6,274.08 × 1,409.56
  4. Step 4: Simplify right side
    4,182.86x = 8,843,676.52
  5. Step 5: Solve for x
    x = 8,843,676.52/4,182.86
  6. Step 6: Final answer
    x = 2,114.26

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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.