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Finding the Fourth Proportional to 4,899.84, 7,342.47 and 2,709.20

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Solution

The fourth proportional to 4,899.84, 7,342.47 and 2,709.20 is: 4,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.84 : 7,342.47 = 2,709.20 : x
  2. Step 2: Convert to fraction form
    4,899.84/7,342.47 = 2,709.20/x
  3. Step 3: Cross multiply
    4,899.84x = 7,342.47 × 2,709.20
  4. Step 4: Simplify right side
    4,899.84x = 19,892,183.01
  5. Step 5: Solve for x
    x = 19,892,183.01/4,899.84
  6. Step 6: Final answer
    x = 4,059.76

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1.5x scale

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.