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Finding the Fourth Proportional to 5,263.40, 7,880.72 and 3,409.94

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Solution

The fourth proportional to 5,263.40, 7,880.72 and 3,409.94 is: 5,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.40 : 7,880.72 = 3,409.94 : x
  2. Step 2: Convert to fraction form
    5,263.40/7,880.72 = 3,409.94/x
  3. Step 3: Cross multiply
    5,263.40x = 7,880.72 × 3,409.94
  4. Step 4: Simplify right side
    5,263.40x = 26,872,725.90
  5. Step 5: Solve for x
    x = 26,872,725.90/5,263.40
  6. Step 6: Final answer
    x = 5,105.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.