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Finding the Fourth Proportional to 5,104.64, 7,653.76 and 3,880

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Solution

The fourth proportional to 5,104.64, 7,653.76 and 3,880 is: 5,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.64 : 7,653.76 = 3,880 : x
  2. Step 2: Convert to fraction form
    5,104.64/7,653.76 = 3,880/x
  3. Step 3: Cross multiply
    5,104.64x = 7,653.76 × 3,880
  4. Step 4: Simplify right side
    5,104.64x = 29,696,588.80
  5. Step 5: Solve for x
    x = 29,696,588.80/5,104.64
  6. Step 6: Final answer
    x = 5,817.57

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Why These Related Problems?

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