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Finding the Fourth Proportional to 4,209.65, 5,809.53 and 2,441.28

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Solution

The fourth proportional to 4,209.65, 5,809.53 and 2,441.28 is: 3,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.65 : 5,809.53 = 2,441.28 : x
  2. Step 2: Convert to fraction form
    4,209.65/5,809.53 = 2,441.28/x
  3. Step 3: Cross multiply
    4,209.65x = 5,809.53 × 2,441.28
  4. Step 4: Simplify right side
    4,209.65x = 14,182,689.40
  5. Step 5: Solve for x
    x = 14,182,689.40/4,209.65
  6. Step 6: Final answer
    x = 3,369.09

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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.