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Finding the Fourth Proportional to 4,127.44, 6,191.16 and 2,074

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Solution

The fourth proportional to 4,127.44, 6,191.16 and 2,074 is: 3,111.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.44 : 6,191.16 = 2,074 : x
  2. Step 2: Convert to fraction form
    4,127.44/6,191.16 = 2,074/x
  3. Step 3: Cross multiply
    4,127.44x = 6,191.16 × 2,074
  4. Step 4: Simplify right side
    4,127.44x = 12,840,465.84
  5. Step 5: Solve for x
    x = 12,840,465.84/4,127.44
  6. Step 6: Final answer
    x = 3,111.00

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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.