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Finding the Fourth Proportional to 5,309.49, 7,322.09 and 3,419.25

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Solution

The fourth proportional to 5,309.49, 7,322.09 and 3,419.25 is: 4,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.49 : 7,322.09 = 3,419.25 : x
  2. Step 2: Convert to fraction form
    5,309.49/7,322.09 = 3,419.25/x
  3. Step 3: Cross multiply
    5,309.49x = 7,322.09 × 3,419.25
  4. Step 4: Simplify right side
    5,309.49x = 25,036,056.23
  5. Step 5: Solve for x
    x = 25,036,056.23/5,309.49
  6. Step 6: Final answer
    x = 4,715.34

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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.