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Finding the Fourth Proportional to 5,900.44, 8,141.30 and 3,415

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Solution

The fourth proportional to 5,900.44, 8,141.30 and 3,415 is: 4,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.44 : 8,141.30 = 3,415 : x
  2. Step 2: Convert to fraction form
    5,900.44/8,141.30 = 3,415/x
  3. Step 3: Cross multiply
    5,900.44x = 8,141.30 × 3,415
  4. Step 4: Simplify right side
    5,900.44x = 27,802,539.50
  5. Step 5: Solve for x
    x = 27,802,539.50/5,900.44
  6. Step 6: Final answer
    x = 4,711.94

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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.