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Finding the Fourth Proportional to 3,423.69, 4,720.34 and 2,302.25

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Solution

The fourth proportional to 3,423.69, 4,720.34 and 2,302.25 is: 3,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.69 : 4,720.34 = 2,302.25 : x
  2. Step 2: Convert to fraction form
    3,423.69/4,720.34 = 2,302.25/x
  3. Step 3: Cross multiply
    3,423.69x = 4,720.34 × 2,302.25
  4. Step 4: Simplify right side
    3,423.69x = 10,867,384.92
  5. Step 5: Solve for x
    x = 10,867,384.92/3,423.69
  6. Step 6: Final answer
    x = 3,174.17

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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.