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Finding the Fourth Proportional to 5,384.74, 8,074 and 2,093.99

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Solution

The fourth proportional to 5,384.74, 8,074 and 2,093.99 is: 3,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.74 : 8,074 = 2,093.99 : x
  2. Step 2: Convert to fraction form
    5,384.74/8,074 = 2,093.99/x
  3. Step 3: Cross multiply
    5,384.74x = 8,074 × 2,093.99
  4. Step 4: Simplify right side
    5,384.74x = 16,906,875.26
  5. Step 5: Solve for x
    x = 16,906,875.26/5,384.74
  6. Step 6: Final answer
    x = 3,139.78

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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.