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Finding the Fourth Proportional to 3,415.37, 5,128.52 and 2,859.50

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Solution

The fourth proportional to 3,415.37, 5,128.52 and 2,859.50 is: 4,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.37 : 5,128.52 = 2,859.50 : x
  2. Step 2: Convert to fraction form
    3,415.37/5,128.52 = 2,859.50/x
  3. Step 3: Cross multiply
    3,415.37x = 5,128.52 × 2,859.50
  4. Step 4: Simplify right side
    3,415.37x = 14,665,001.46
  5. Step 5: Solve for x
    x = 14,665,001.46/3,415.37
  6. Step 6: Final answer
    x = 4,293.83

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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.