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Finding the Fourth Proportional to 3,429.70, 4,733.07 and 1,937.65

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Solution

The fourth proportional to 3,429.70, 4,733.07 and 1,937.65 is: 2,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.70 : 4,733.07 = 1,937.65 : x
  2. Step 2: Convert to fraction form
    3,429.70/4,733.07 = 1,937.65/x
  3. Step 3: Cross multiply
    3,429.70x = 4,733.07 × 1,937.65
  4. Step 4: Simplify right side
    3,429.70x = 9,171,033.09
  5. Step 5: Solve for x
    x = 9,171,033.09/3,429.70
  6. Step 6: Final answer
    x = 2,674.00

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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.