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Finding the Fourth Proportional to 5,309.40, 7,324.93 and 3,420.83

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Solution

The fourth proportional to 5,309.40, 7,324.93 and 3,420.83 is: 4,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.40 : 7,324.93 = 3,420.83 : x
  2. Step 2: Convert to fraction form
    5,309.40/7,324.93 = 3,420.83/x
  3. Step 3: Cross multiply
    5,309.40x = 7,324.93 × 3,420.83
  4. Step 4: Simplify right side
    5,309.40x = 25,057,323.19
  5. Step 5: Solve for x
    x = 25,057,323.19/5,309.40
  6. Step 6: Final answer
    x = 4,719.43

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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.