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Finding the Fourth Proportional to 3,402.89, 4,696.49 and 2,077.36

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Solution

The fourth proportional to 3,402.89, 4,696.49 and 2,077.36 is: 2,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.89 : 4,696.49 = 2,077.36 : x
  2. Step 2: Convert to fraction form
    3,402.89/4,696.49 = 2,077.36/x
  3. Step 3: Cross multiply
    3,402.89x = 4,696.49 × 2,077.36
  4. Step 4: Simplify right side
    3,402.89x = 9,756,311.53
  5. Step 5: Solve for x
    x = 9,756,311.53/3,402.89
  6. Step 6: Final answer
    x = 2,867.07

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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.