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Finding the Fourth Proportional to 3,417.49, 5,122.81 and 1,334.62

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Solution

The fourth proportional to 3,417.49, 5,122.81 and 1,334.62 is: 2,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.49 : 5,122.81 = 1,334.62 : x
  2. Step 2: Convert to fraction form
    3,417.49/5,122.81 = 1,334.62/x
  3. Step 3: Cross multiply
    3,417.49x = 5,122.81 × 1,334.62
  4. Step 4: Simplify right side
    3,417.49x = 6,837,004.68
  5. Step 5: Solve for x
    x = 6,837,004.68/3,417.49
  6. Step 6: Final answer
    x = 2,000.59

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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.