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Finding the Fourth Proportional to 4,194.63, 6,260.52 and 4,125.42

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Solution

The fourth proportional to 4,194.63, 6,260.52 and 4,125.42 is: 6,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.63 : 6,260.52 = 4,125.42 : x
  2. Step 2: Convert to fraction form
    4,194.63/6,260.52 = 4,125.42/x
  3. Step 3: Cross multiply
    4,194.63x = 6,260.52 × 4,125.42
  4. Step 4: Simplify right side
    4,194.63x = 25,827,274.42
  5. Step 5: Solve for x
    x = 25,827,274.42/4,194.63
  6. Step 6: Final answer
    x = 6,157.22

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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.