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Finding the Fourth Proportional to 4,209.67, 5,802.91 and 2,715.68

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Solution

The fourth proportional to 4,209.67, 5,802.91 and 2,715.68 is: 3,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.67 : 5,802.91 = 2,715.68 : x
  2. Step 2: Convert to fraction form
    4,209.67/5,802.91 = 2,715.68/x
  3. Step 3: Cross multiply
    4,209.67x = 5,802.91 × 2,715.68
  4. Step 4: Simplify right side
    4,209.67x = 15,758,846.63
  5. Step 5: Solve for x
    x = 15,758,846.63/4,209.67
  6. Step 6: Final answer
    x = 3,743.49

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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.