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Finding the Fourth Proportional to 4,194.68, 6,256.63 and 3,642.52

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Solution

The fourth proportional to 4,194.68, 6,256.63 and 3,642.52 is: 5,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.68 : 6,256.63 = 3,642.52 : x
  2. Step 2: Convert to fraction form
    4,194.68/6,256.63 = 3,642.52/x
  3. Step 3: Cross multiply
    4,194.68x = 6,256.63 × 3,642.52
  4. Step 4: Simplify right side
    4,194.68x = 22,789,899.91
  5. Step 5: Solve for x
    x = 22,789,899.91/4,194.68
  6. Step 6: Final answer
    x = 5,433.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.