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Finding the Fourth Proportional to 4,491.12, 6,739.16 and 1,894

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Solution

The fourth proportional to 4,491.12, 6,739.16 and 1,894 is: 2,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.12 : 6,739.16 = 1,894 : x
  2. Step 2: Convert to fraction form
    4,491.12/6,739.16 = 1,894/x
  3. Step 3: Cross multiply
    4,491.12x = 6,739.16 × 1,894
  4. Step 4: Simplify right side
    4,491.12x = 12,763,969.04
  5. Step 5: Solve for x
    x = 12,763,969.04/4,491.12
  6. Step 6: Final answer
    x = 2,842.05

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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.