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Finding the Fourth Proportional to 4,127.42, 5,690.22 and 2,946.44

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Solution

The fourth proportional to 4,127.42, 5,690.22 and 2,946.44 is: 4,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.42 : 5,690.22 = 2,946.44 : x
  2. Step 2: Convert to fraction form
    4,127.42/5,690.22 = 2,946.44/x
  3. Step 3: Cross multiply
    4,127.42x = 5,690.22 × 2,946.44
  4. Step 4: Simplify right side
    4,127.42x = 16,765,891.82
  5. Step 5: Solve for x
    x = 16,765,891.82/4,127.42
  6. Step 6: Final answer
    x = 4,062.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.