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Finding the Fourth Proportional to 5,300.30, 7,310.24 and 3,706.42

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Solution

The fourth proportional to 5,300.30, 7,310.24 and 3,706.42 is: 5,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.30 : 7,310.24 = 3,706.42 : x
  2. Step 2: Convert to fraction form
    5,300.30/7,310.24 = 3,706.42/x
  3. Step 3: Cross multiply
    5,300.30x = 7,310.24 × 3,706.42
  4. Step 4: Simplify right side
    5,300.30x = 27,094,819.74
  5. Step 5: Solve for x
    x = 27,094,819.74/5,300.30
  6. Step 6: Final answer
    x = 5,111.94

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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.