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Finding the Fourth Proportional to 5,366.34, 7,409.10 and 3,274.02

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Solution

The fourth proportional to 5,366.34, 7,409.10 and 3,274.02 is: 4,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.34 : 7,409.10 = 3,274.02 : x
  2. Step 2: Convert to fraction form
    5,366.34/7,409.10 = 3,274.02/x
  3. Step 3: Cross multiply
    5,366.34x = 7,409.10 × 3,274.02
  4. Step 4: Simplify right side
    5,366.34x = 24,257,541.58
  5. Step 5: Solve for x
    x = 24,257,541.58/5,366.34
  6. Step 6: Final answer
    x = 4,520.31

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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.