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Finding the Fourth Proportional to 5,409.14, 7,463.04 and 3,394.22

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Solution

The fourth proportional to 5,409.14, 7,463.04 and 3,394.22 is: 4,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.14 : 7,463.04 = 3,394.22 : x
  2. Step 2: Convert to fraction form
    5,409.14/7,463.04 = 3,394.22/x
  3. Step 3: Cross multiply
    5,409.14x = 7,463.04 × 3,394.22
  4. Step 4: Simplify right side
    5,409.14x = 25,331,199.63
  5. Step 5: Solve for x
    x = 25,331,199.63/5,409.14
  6. Step 6: Final answer
    x = 4,683.04

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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.