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Finding the Fourth Proportional to 4,209.65, 6,314.72 and 1,744.65

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Solution

The fourth proportional to 4,209.65, 6,314.72 and 1,744.65 is: 2,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.65 : 6,314.72 = 1,744.65 : x
  2. Step 2: Convert to fraction form
    4,209.65/6,314.72 = 1,744.65/x
  3. Step 3: Cross multiply
    4,209.65x = 6,314.72 × 1,744.65
  4. Step 4: Simplify right side
    4,209.65x = 11,016,967.52
  5. Step 5: Solve for x
    x = 11,016,967.52/4,209.65
  6. Step 6: Final answer
    x = 2,617.08

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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.