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Finding the Fourth Proportional to 3,406.12, 4,700.36 and 1,914

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Solution

The fourth proportional to 3,406.12, 4,700.36 and 1,914 is: 2,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.12 : 4,700.36 = 1,914 : x
  2. Step 2: Convert to fraction form
    3,406.12/4,700.36 = 1,914/x
  3. Step 3: Cross multiply
    3,406.12x = 4,700.36 × 1,914
  4. Step 4: Simplify right side
    3,406.12x = 8,996,489.04
  5. Step 5: Solve for x
    x = 8,996,489.04/3,406.12
  6. Step 6: Final answer
    x = 2,641.27

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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.