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Finding the Fourth Proportional to 3,402.37, 4,696.02 and 2,005.93

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Solution

The fourth proportional to 3,402.37, 4,696.02 and 2,005.93 is: 2,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.37 : 4,696.02 = 2,005.93 : x
  2. Step 2: Convert to fraction form
    3,402.37/4,696.02 = 2,005.93/x
  3. Step 3: Cross multiply
    3,402.37x = 4,696.02 × 2,005.93
  4. Step 4: Simplify right side
    3,402.37x = 9,419,887.40
  5. Step 5: Solve for x
    x = 9,419,887.40/3,402.37
  6. Step 6: Final answer
    x = 2,768.63

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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.