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Finding the Fourth Proportional to 5,141.99, 7,096.62 and 3,819.47

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Solution

The fourth proportional to 5,141.99, 7,096.62 and 3,819.47 is: 5,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.99 : 7,096.62 = 3,819.47 : x
  2. Step 2: Convert to fraction form
    5,141.99/7,096.62 = 3,819.47/x
  3. Step 3: Cross multiply
    5,141.99x = 7,096.62 × 3,819.47
  4. Step 4: Simplify right side
    5,141.99x = 27,105,327.19
  5. Step 5: Solve for x
    x = 27,105,327.19/5,141.99
  6. Step 6: Final answer
    x = 5,271.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.