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Finding the Fourth Proportional to 3,534.90, 5,302.11 and 1,343.57

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Solution

The fourth proportional to 3,534.90, 5,302.11 and 1,343.57 is: 2,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.90 : 5,302.11 = 1,343.57 : x
  2. Step 2: Convert to fraction form
    3,534.90/5,302.11 = 1,343.57/x
  3. Step 3: Cross multiply
    3,534.90x = 5,302.11 × 1,343.57
  4. Step 4: Simplify right side
    3,534.90x = 7,123,724.38
  5. Step 5: Solve for x
    x = 7,123,724.38/3,534.90
  6. Step 6: Final answer
    x = 2,015.26

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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.