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Finding the Fourth Proportional to 3,406.36, 4,701.67 and 1,914.76

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Solution

The fourth proportional to 3,406.36, 4,701.67 and 1,914.76 is: 2,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.36 : 4,701.67 = 1,914.76 : x
  2. Step 2: Convert to fraction form
    3,406.36/4,701.67 = 1,914.76/x
  3. Step 3: Cross multiply
    3,406.36x = 4,701.67 × 1,914.76
  4. Step 4: Simplify right side
    3,406.36x = 9,002,569.65
  5. Step 5: Solve for x
    x = 9,002,569.65/3,406.36
  6. Step 6: Final answer
    x = 2,642.87

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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.