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Finding the Fourth Proportional to 5,696.76, 8,548.02 and 2,234.04

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Solution

The fourth proportional to 5,696.76, 8,548.02 and 2,234.04 is: 3,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.76 : 8,548.02 = 2,234.04 : x
  2. Step 2: Convert to fraction form
    5,696.76/8,548.02 = 2,234.04/x
  3. Step 3: Cross multiply
    5,696.76x = 8,548.02 × 2,234.04
  4. Step 4: Simplify right side
    5,696.76x = 19,096,618.60
  5. Step 5: Solve for x
    x = 19,096,618.60/5,696.76
  6. Step 6: Final answer
    x = 3,352.19

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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.