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Finding the Fourth Proportional to 5,296.88, 7,313.04 and 3,409.34

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Solution

The fourth proportional to 5,296.88, 7,313.04 and 3,409.34 is: 4,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.88 : 7,313.04 = 3,409.34 : x
  2. Step 2: Convert to fraction form
    5,296.88/7,313.04 = 3,409.34/x
  3. Step 3: Cross multiply
    5,296.88x = 7,313.04 × 3,409.34
  4. Step 4: Simplify right side
    5,296.88x = 24,932,639.79
  5. Step 5: Solve for x
    x = 24,932,639.79/5,296.88
  6. Step 6: Final answer
    x = 4,707.04

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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.