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Finding the Fourth Proportional to 5,301.36, 7,308.99 and 3,409.56

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Solution

The fourth proportional to 5,301.36, 7,308.99 and 3,409.56 is: 4,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.36 : 7,308.99 = 3,409.56 : x
  2. Step 2: Convert to fraction form
    5,301.36/7,308.99 = 3,409.56/x
  3. Step 3: Cross multiply
    5,301.36x = 7,308.99 × 3,409.56
  4. Step 4: Simplify right side
    5,301.36x = 24,920,439.94
  5. Step 5: Solve for x
    x = 24,920,439.94/5,301.36
  6. Step 6: Final answer
    x = 4,700.76

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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.